[en] In this article, functional inequalities for diffusion semigroups on Riemannian manifolds (possibly with boundary) are established, which are equivalent to pinched Ricci curvature, along with gradient estimates, L^p-inequalities and log-Sobolev inequalities. These results are further extended to differential manifolds carrying geometric flows. As application, it is shown that they can be used in particular to characterize general geometric flow and Ricci flow by functional inequalities.
Disciplines :
Mathématiques
Auteur, co-auteur :
CHENG, Li Juan ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
THALMAIER, Anton ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
Characterization of pinched Ricci curvature by functional inequalities
Date de publication/diffusion :
2018
Titre du périodique :
Journal of Geometric Analysis
ISSN :
1050-6926
eISSN :
1559-002X
Maison d'édition :
Springer New York LLC, New York, Etats-Unis - New York
