ACG

ACG - Aspects Conformes de la Géométrie

- Projet ANR-10-BLAN 0105 -

Prépublications :

K. Akutagawa, G. Carron, R. Mazzeo, The Yamabe problem on Dirichlet spaces, (2013).
K. Akutagawa, G. Carron, R. Mazzeo, Hölder regularity of solutions for Schrödinger operators on stratified spaces (2014).
C. Aldana, W. Mueller, J. Rowlett, A Polyakov Formula for Surfaces with Conical Singularities, arXiv:1411.7894.
E. Aubry, J.-F. Grosjean, Spectrum of hypersurfaces with small extrinsic radius or large $λ_1$ in Euclidean spaces, arXiv:1210.5690.
E. Aubry, J.-F. Grosjean, Metric shape of hypersurfaces of with small extrinsic radius or large $\lambda_1$, arXiv:1210.5689.
E. Aubry, Approximation of the spectrum of a manifold by discretization, arXiv:1301.3663.
T. Banica, I. Nechita, J.-M. Schlenker, Analytic aspects of the circulant Hadamard conjecture, arXiv:1212.3589.
T. Barbot, F. Bonsante, J. Danciger, W. Goldman, F. Guéritaud, F. Kassel, K. Krasnov, J.-M. Schlenker, A. Zeghib, Some questions on anti-de Sitter geometry, arXiv:1205.6103.
N. Bergeron, E. Falbel, A. Guilloux, Tetrahedra of flags, volume and homology of SL(3), arXiv:1101.2742.
O. Biquard, Désingularisation de métriques d'Einstein. I, arXiv:1105.4904.
O. Biquard, F. Madani, A construction of conformal-harmonic maps, arXiv:1112.6130.
O. Biquard, Y. Rollin, Smoothing singular extremal Kähler surfaces and minimal Lagrangians, arXiv:1211.6957.

V. Bour, G. Carron, Optimal Integral Pinching Results, arXiv:1203.0384.

V. Bour, G. Carron, A sphere theorem for three dimensional manifolds with integral pinched curvature (2014).

G. Carron, Riesz transform on manifolds with quadratic curvature decay, (2014).

J. Cortier, V. Minerbe, On complete stationary vacuum initial data, arXiv:1402.0690.

J. Danciger, S. Maloni, J.-M. Schlenker, Polyhedra inscribed in a quadric, arXiv:1410.3774.

E. Delay, Sur l'inversion de l'opérateur de Ricci au voisinage d'une métrique Ricci parallèle, hal-00974707.

E. Delay, Inversion d'opérateurs de courbures au voisinage de la métrique euclidienne, hal-00973138.

S. Dyatlov, F. Faure, C. Guillarmou, Power spectrum of the geodesic flow on hyperbolic manifolds, arXiv:1403.0256.

S. Dyatlov, C. Guillarmou, Pollicott-Ruelle resonances for open systems, arXiv: 1410.5516.

C. Frances , About pseudo-Riemannian Lichnerowicz conjecture, arXiv:1211.0635.

C. Guillarmou, S. Moroianu, J.-M. Schlenker, The renormalized volume and uniformisation of conformal structures, arXiv:1211.6705.

C. Guillarmou, Invariant distributions and X-ray transform for Anosov flows, arXiv: 1408.4732.

C. Guillarmou, Lens rigidity for manifolds with hyperbolic trapped sets, arXiv: 1412.1760

C. Guillarmou, G. Paternain, M. Salo, G. Uhlmann, Integral geometry inverse problem for connections on negatively curved manifolds, preprint 2014.

A. Hermann, E. Humbert, About the mass of certain second order elliptic operators, arXiv:1401.1614.

E. Humbert, Mécanique quantique, arXiv:1201.3214.

A. Moroianu, L. Ornea, Homogeneous locally conformally Kähler manifolds, arXiv:1311.0671.

C. Scarinci, J.-M. Schlenker, Symplectic Wick rotations between moduli spaces of 3-manifolds, arXiv:1411.4772.

C. Spotti, S. Sun, C. Yao, Existence and deformations of Kahler-Einstein metrics on smoothable Q-Fano varieties, arXiv:1411.1725.

Publications :

P. Albin, C. Guillarmou, L. Tzou, G. Uhlmann, Inverse Boundary Problems for Systems in Two Dimensions, Annales IHP 14 (6), 1551-1571 (2013).
P. Albin, C. Aldana, F. Rochon, Compactness of relatively isospectral sets of surfaces via conformal surgeries, accepté dans J. Geom. Analysis, doi:10.1007/s12220-013-9463-0.
P. Albin, C. Aldana, F. Rochon, Ricci flow and the determinant of the Laplacian on non-compact surfaces, Commun. PDE 38 (4), (2013).
C. Aldana, Asymptotics of relative heat traces and determinants on open surfaces of finite area, Ann. Global Anal. Geom. 44 (2), 169-216 (2013).
B. Ammann, M. Dahl, E. Humbert, Harmonic spinors and local deformations of the metric, Math. Res. Lett. 18, 927-936 (2011).
B. Ammann, M. Dahl, E. Humbert, The conformal Yamabe constant of product manifolds, Proc. Amer. Math. Soc. 141, 295-307 (2013).
B. Ammann, M. Dahl, E. Humbert, Low-dimensional surgery and the Yamabe invariant, accepté dans J. Math. Soc. Japan.
B. Ammann, M. Dahl, E. Humbert, Square-integrability of solutions of the Yamabe equation, Commun. Anal. Geom. 21, 891-916 (2013).
B. Ammann, M. Dahl, A. Hermann, E. Humbert, Mass endomorphism, surgery and pertubations, Ann. Inst. Fourier 64 (2), 467-487 (2014).
B. Ammann, A. Moroianu, S. Moroianu, The Cauchy problems for Einstein metrics and parallel spinors, Commun. Math. Phys. 320, 173-198 (2013).
K. Akutagawa, G. Carron, R. Mazzeo, The Yamabe problem on stratified spaces, Geometric And Functional Analysis 24 (4), 1039-1079 (2014).
V. Apostolov,D. Calderbank, P. Gauduchon, Ambitoric Geometry I: Einstein metrics and extremal ambikaehler structures, accepté dans J. reine angew. Math.
V. Apostolov, D. Calderbank, P. Gauduchon, Ambitoric Geometry II: Extremal toric surfaces and Einstein 4-orbifolds, accepté dans Annales de l'ENS.
E. Aubry, C. Guillarmou, Conformal harmonic forms, Branson-Gover operators and Dirichlet problem at infinity, J. Eur. Math. Soc. 13, 911-957 (2011).
W. Ballmann, J. Brüning, G. Carron, Index theorems on manifolds with straight ends, Compositio Mathematica 148, 1897-1968 (2012).
T. Barbot, F. Bonsante, J.-M. Schlenker, Collisions of particles in locally AdS spacetimes I. Local description and global examples, Commun. Math. Phys. 308, 147-200 (2011).
T. Barbot, F. Bonsante, J.-M. Schlenker, Collisions of particles in locally AdS spacetimes II. Moduli of globally hyperbolic spaces, Commun. Math. Phys. 327 (3), 691-735 (2014).
F. Belgun, A. Moroianu, Weyl-parallel forms, conformal products and Einstein-Weyl manifolds, Asian J. Math. 15, 499-520 (2011).
F. Belgun, A. Moroianu, On the irreducibility of locally metric connections, accepté dans J. reine angew. Math. doi: 10.1515/crelle-2013-0128 (2014).
F. Belgun, A. Moroianu, L. Ornea, Essential points of conformal vector fields, J. Geom. Phys. 61, 589-593 (2011).
O. Biquard, V. Minerbe, A Kummer construction for gravitational instantons, Commun. Math. Phys. 308 (3), 773-794 (2011).
F. Bonsante, G. Mondello, J.-M. Schlenker, A cyclic extension of the earthquake flow I, Geometry and Topology, 17 (1), 157-234 (2013).
F. Bonsante, G. Mondello, J.-M. Schlenker, A cyclic extension of the earthquake flow II, accepté dans Annales Scientifiques de l'ENS.
F. Bonsante, K. Krasnov, J.-M. Schlenker, Multi Black Holes and Earthquakes on Riemann surfaces with boundaries, Int. Math. Res. Not. 2011, 487-552 (2011).
F. Bonsante, C. Meusburger, J.-M. Schlenker, Recovering the geometry of a flat spacetime from a background radiation, Annales Henri Poincaré 15 (9), 1733-1799 (2014).
F. Bonsante, J.-M. Schlenker, Fixed points of compositions of earthquakes, Duke Math. J. 161, 1011-1054 (2012).
D. Borthwick, C. Guillarmou, Upper bounds on the number of resonances on geometrically finite hyberbolic manifolds, accepté dans Journal of the EMS.
G. Carron, Rigidity and L^2 cohomology of hyperbolic manifold, Annales de l'institut Fourier 60 (7), 2307-2331 (2011).
G. Carron, Cohomologie L² des variétés QALE, J. Reine Angew. Math. 655, 1-59 (2011).
G. Carron, On the QALE geometry of Nakajima's metric, Journal of the Institute of Mathematics of Jussieu 10, 119-147 (2011).
G. Carron, Inégalité de Sobolev et volume asymptotique, Annales de la faculté des sciences de Toulouse Sér. 6, 21 (1), 151-172 (2012).
G. Carron, Some old and new results about rigidity of critical metric, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5), 13, 1091-1113 (2014).
H. Christianson, C. Guillarmou, L. Michel, Random walk on surfaces with hyperbolic cusps, Annales IHP 12, 743-775 (2011).
P. Chrusciel, E. Delay, Unique continuation and extensions of Killing vectors at boundaries for stationary vacuum space-times, J. Geom. Phys. 61, 1249-1257 (2011).
M. Dahl, E. Humbert, An isoperimetric constant associated to horizons in S3 blown-up at two points, J. Geom. Phys. 61, 1809-1822 (2011).
M. Dahl, R. Gicquaud, E. Humbert, A limit equation associated to the solvability of the vacuum Einstein equations using the conformal method, Duke Math. J. 161, (14), 2669-2697 (2012).
M. Dahl, R. Gicquaud, E. Humbert, A non-existence result for a generalization of the equations of the conformal method in general relativity, Class. Quantum
Grav. 30 (2013).
E. Delay, Smooth compactly supported solutions of some underdetermined elliptic PDE, with gluing applications, Comm. PDE, 37 (10), 1689-1716 (2012).
E. Delay, Localized gluing of Riemannian metrics in interpolating their scalar curvature, Diff. Geom. Appl. 29 (3), 433-439 (2011).
E. Delay, P. Sicbaldi, Extremal domains for the first eigenvalue in a general Riemannian manifold, accepté dans Discrete and Continuous Dynamical Systems A.
E. Delay, L. Mazzieri, Refined gluing for Vacuum Einstein constraint equations, Geometria Dedicata, 173 (1), 393-415 (2014).
S. Dragomir, R. Petit, Contact harmonic maps, Diff. Geom. Appl. 30, 65-84 (2012).
S. Dragomir, R. Petit, On the regularity of Weak Contact p-Harmonic maps, J. Complex. Anal. 3, 1-37 (2013).
S. Dyatlov, C. Guillarmou, Microlocal limits of plane waves and Eisenstein functions, Annales de l'ENS. 47 (2), 371-448 (2014).
S. Dyatlov, C. Guillarmou, Scattering phase asymptotics with fractal remainders, Commun. Math. Phys. 324 (2), 425-444 (2013).
C. Frances, About Geometrically Maximal Manifolds, Journal of Toplogy 5 (2) 293-322 (2012).
C. Frances, Dégénerescence locale des transformations conformes pseudo-riemaniennes, accepté dans Ann. Inst. Fourier.
C. Frances, K. Melnick, Formes normales pour les champs conformes pseudo-riemanniens, accepté dans Bull. SMF.
C. Frances, Removable and essential singular sets for higher dimensional conformal maps, accepté dans Comment. Math. Helv.
C. Frances, Local dynamics of conformal vector fields, Geom. Dedicata 158 (1), 35-59 (2012).
G. Francsics, E. Falbel, P. Lax, J. Parker, Generators of a Picard modular group in two complex dimensions, Proc. Amer. Math. Soc. 139 (7), 2439-2447 (2011).
G. Francsics, E. Falbel, J. Parker, The geometry of the Gauss-Picard modular group, Math. Ann. 349 (2), 459-508 (2011).
P. Gauduchon, A. Moroianu, U. Semmelmann, Almost complex structures on quaternion-Kähler manifolds and inner symmetric spaces, Invent. Math. 184, 389-403 (2011).
P. Gauduchon, A. Moroianu, L. Ornea, Compact homogeneous lcK manifolds are Vaisman, accepté dans Math. Ann. doi:10.1007/s00208-014-1103-x (2014).
V. Guedj, B. Kolev, N. Yeganefar, A Lichnerowicz estimate for the first eigenvalue of convex domains in Kähler manifolds, Analysis and PDE. 6 (5), 1001-1012 (2013).
V. Guedj, B. Kolev, N. Yeganefar, Kähler-Einstein fillings, J. Lond. Math. Soc. 88 (3), 737-760 (2013).
C. Guillarmou, F. Naud, Equidistribution of Eisenstein series on convex co-compact hyperbolic manifolds, Amer. J. Math. 136 (2), 445-479 (2014).
C. Guillarmou, L. Tzou, Calderon inverse problem with partial data on Riemann surfaces, Duke Math. J. 158 (1), 83-120 (2011).
C. Guillarmou, R. Mazzeo, Spectral analysis of the Laplacian on geometrically finite hyperbolic manifolds, Invent. Math. 187 (1), 99-144 (2012).
C. Guillarmou, M. Salo, L. Tzou, Inverse scattering at fixed energy for surfaces with Euclidean ends, Commun. Math. Phys. 303 (3), 761-784 (2011).
C. Guillarmou, L. Michel, Spectral analysis of random walk operators on Euclidean space, Math. Research Letters 18 (3), 405-424 (2011).
C. Guillarmou, L. Tzou, Identification of a connection from Cauchy data space on a Riemann surface with boundary, GAFA 21 (2), 393-418 (2011).
C. Guillarmou, S. Moroianu, Chern-Simons line bundle on Teichmüller space, Geometry and Topology 18, 327-377 (2014).
C. Guillarmou, S. Moroianu, J. Park, Calderon and Bergman projectors on spin manifolds with boundary, J. Geom. Anal. 24 (1), 298-336 (2014).
C. Guillarmou, A. Hassel, Uniform Sobolev estimates for non-trapping metrics, J. Inst. Math. Jussieu. 13 (3), 599-632 (2014).
C. Guillarmou, A. Hassell, A. Sikora, Resolvent at low energy III: the spectral measure, Trans. Amer. Math. Soc. 365 (11), 6103-6148 (2013).
C. Guillarmou, A. Hassell, A. Sikora, Restriction and spectral multiplier theorems on asymptotically conic manifolds, Analysis and PDE 6 (4), 893-950 (2013).
C. Guillarmou, D. Sher, Low energy resolvent for the Hodge Laplacian. Applications to Riesz transform, Sobolev estimates and analytic torsion, accepté dans IMRN, doi:10.1093/imrn/rnu119.
E. Humbert, M. Vaugon, La relativité générale expliquée aux mathematiciens, Ellipses, ISBN 978-2-3400-0005-6 (2014).
T. Jentsch, A. Moroianu, U. Semmelmann, Extrinsic hyperspheres in manifolds with special holonomy, Differ. Geom. Appl. 31, 104-111 (2013).
C. Lecuire, J.-M. Schlenker, The convex core of quasifuchsian manifolds with particles, Geometry and topology 18 (4), 2309-2373 (2014).
F. Luo, J.-M. Schlenker, Volume maximization and the extended hyperbolic space, Proc. Amer. Math. Soc. 140, 1053-1068 (2012).
J. Ma, J.-M. Schlenker, Non-rigidity of spherical inversive distance circle packings, Discrete and Computational Geometry 47 (3), 610-617 (2012).
D. Maerten, V. Minerbe, A mass for asymptotically complex hyperbolic manifolds, Ann. Scuola Norm. Sup. Pisa. Cl. Sci 11 (4), 875-902 (2012).
J.-L. Milhorat, On a characteristic of the first eigenvalue of the Dirac operator on compact spin symmetric spaces with a Kähler or Quaternion-Kähler structure, accepté dans J. Geom. Phys.
V. Minerbe, Rigidity for Multi-Taub-NUT metrics, J. reine angew. Math. 656, 47-58 (2011).
A. Moroianu, M. Pilca, U. Semmelmann, Homogeneous almost quaternion-Hermitian manifolds, Math. Ann. 357, 1205-1216 (2013).
A. Moroianu, U. Semmelmann, Infinitesimal Einstein deformations of nearly Kähler metrics, Trans. Amer. Math. Soc. 363, 3057-3069 (2011).
A. Moroianu, U. Semmelmann, Clifford structures on Riemannian manifolds, Adv. Math. 228, 940-967 (2011).
A. Moroianu, S. Moroianu, The Dirac operator on generalized Taub-NUT spaces, Commun. Math. Phys. 305, 641-656 (2011).
A. Moroianu, S. Moroianu, Ricci surfaces, accepté dans Ann. Scuola Norm. Sup. Pisa.Cl. Sci. doi: 10.2422/2036-2145.201206_007 (2014).
A. Moroianu, M. Pilca, Higher rank homogeneous Clifford structures, J. London Math. Soc. 87, 384-400 (2013).
A. Moroianu, U. Semmelmann, Invariant four-forms and symmetric pairs, Ann. Global Anal. Geom. 43, 107-121 (2013).
A. Moroianu, U. Semmelmann, Weakly complex homogeneous spaces, J. reine angew. Math. 691, 229-244 (2014).
A. Moroianu, U. Semmelmann, Generalized Killing spinors on Einstein manifolds, Internat. J. Math. 25 (4), 1-19 (2014).

A. Moroianu, U. Semmelmann, Generalized Killing spinors on spheres, Ann. Global Anal. Geom. 46 (2), 129-143 (2014).

A. Moroianu, U. Semmelmann, Generalized Killing spinors and Lagrangian graphs, Differ. Geom. Appl. 37, 141-151 (2014).

K. Pankrashkin, S. Roganova, N. Yeganefar, Resolvent expansions on hybrid manifolds, Integral Equations and Operator Theory 71 (2), 199-223 (2011).

M. Rumin, Balanced distribution-energy inequalities and related entropy bounds, Duke Math. J. 160 (3), 567-597 (2011).
M. Rumin, N. Seshadri, Analytic torsions on contact manifolds, Annales de l'Institut Fourier 62 (2), 727-782 (2012).
M. Rumin, An entropic uncertainty principle for positive operator valued measures, Lett. Math. Phys. 100 (3), 291-308 (2012).
J.-M. Schlenker, The renormalized volume and the volume of the convex core of quasifuchsian manifolds, Math. Res. Lett. 20 (4), 773-786 (2013).
C. Spotti, Deformations of Nodal Kahler-Einstein Del Pezzo Surfaces with Finite Automorphism Groups, J. London Math. Soc. 89 (2), 539-558 (2014).