Ressource pédagogique : R. Perales - Recent Intrinsic Flat Convergence Theorems
Présentation de: R. Perales - Recent Intrinsic Flat Convergence Theorems
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Description de la ressource pédagogique
Description (résumé)
Given a closed and oriented manifold M and Riemannian tensors g0, g1, ... on M that satisfy g0 < gj, vol(M, gj)?vol (M, g0) and diam(M, gj)?D we will see that (M, gj) converges to (M, g0) in the intrinsic flat sense. We also generalize this to the non-empty bundary setting. We remark that under the onditions we do not nexessarily obtain smooth, C0 or even Gromov-Hausdorff convergence. furthermore, these results can be applied to show stability of a class of tori and a class of complete and asymptotically flat manifolds. That is, any sequence of tori in the former class with almost nonnegative scalar curvature convergences to a flat tori, and any sequence of manifolds in the latter with ADM masses converging to zero converges to Euclidean space. [Based on joint work with Allen, Allen-Sormani and Cabrera Pacheco-Katterer].
"Domaine(s)" et indice(s) Dewey
- Mathématiques (510)
Thème(s)
Intervenants, édition et diffusion
Intervenants
Diffusion
Document(s) annexe(s) - R. Perales - Recent Intrinsic Flat Convergence Theorems
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AUTEUR(S)
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Raquel PERALES AGUILAR
EN SAVOIR PLUS
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Identifiant de la fiche
63087 -
Identifiant
oai:canal-u.fr:63087 -
Schéma de la métadonnée
- LOMv1.0
- LOMFRv1.0
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