Zobrazeno 1 - 10
of 132
pro vyhledávání: '"Espaces métriques"'
Autor:
Genuer, Robin
Publikováno v:
Statistics [math.ST]. Université de Bordeaux, 2021
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::0aee1308f6b0090b79a48ac525159b20
https://tel.archives-ouvertes.fr/tel-03111020
https://tel.archives-ouvertes.fr/tel-03111020
Autor:
Genuer, Robin
Publikováno v:
Statistics [math.ST]. Université de Bordeaux, 2021
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::20be2a01d26c13d09dfcff88e20473a0
https://tel.archives-ouvertes.fr/tel-03111020
https://tel.archives-ouvertes.fr/tel-03111020
In this talk, we shall describe some topological rigidity and its relationship with positive scalar curvature. Precisely, we will present a proof that a complete contractible 3-manifold with positive scalar curvature is homeomorphic to the Euclidean
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::2e471c0de6eab1f3186720afef204d9b
https://hal.archives-ouvertes.fr/hal-03324484
https://hal.archives-ouvertes.fr/hal-03324484
We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::75d7ae992e5804740f54c09a67155342
https://hal.archives-ouvertes.fr/hal-03547024
https://hal.archives-ouvertes.fr/hal-03547024
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds goes back to Gromov in the '80ies and was pushed by Cheeger-Colding in the ‘90ies, who investigated the structure of spaces arising as Gromov-Hausdo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::74a668e227d924f5a0d342a17c217a07
https://hal.archives-ouvertes.fr/hal-03448754
https://hal.archives-ouvertes.fr/hal-03448754
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds goes back to Gromov in the '80ies and was pushed by Cheeger-Colding in the ‘90ies, who investigated the structure of spaces arising as Gromov-Hausdo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::7ed41b080a44ff27ecc38a5e4e97efb5
https://hal.archives-ouvertes.fr/hal-03448761
https://hal.archives-ouvertes.fr/hal-03448761
The goal of the talk is to present a recent work in collaboration with Cavalletti (SISSA) on optimal transport in Lorentzian synthetic spaces. The aim is to set up a “Lorentzian analog” of the celebrated Lott-Sturm-Villani theory of CD(K,N) metri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::33759e121cf8c25eb44be06eec486f18
https://hal.archives-ouvertes.fr/hal-03677345
https://hal.archives-ouvertes.fr/hal-03677345
We will present some of the tools used by the more advanced lectures. The topics discussed will include : Gromov Hausdorff distance, comparison theorems for sectional and Ricci curvature, the Bochner formula and basics of Ricci flow.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::fa5913153acdf892df5575580e9d0caf
https://hal.archives-ouvertes.fr/hal-03352490
https://hal.archives-ouvertes.fr/hal-03352490
It has become clear in recent years that to understand mean curvature flow through singularities it is essential to work with weak solutions to mean curvature flow. We will give a brief introduction to smooth mean curvature flow and then discuss Brak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::56b4935491b62b641ac6ebbf40a6d996
https://hal.archives-ouvertes.fr/hal-03322467
https://hal.archives-ouvertes.fr/hal-03322467
It has become clear in recent years that to understand mean curvature flow through singularities it is essential to work with weak solutions to mean curvature flow. We will give a brief introduction to smooth mean curvature flow and then discuss Brak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::f1a86c02308207886acda1778c005f27
https://hal.archives-ouvertes.fr/hal-03381973
https://hal.archives-ouvertes.fr/hal-03381973