Reference : Characterization of pinched Ricci curvature by functional inequalities
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/28890
Characterization of pinched Ricci curvature by functional inequalities
English
Cheng, Li Juan mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Thalmaier, Anton mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2018
Journal of Geometric Analysis (The)
Springer New York LLC
28
3
2312-2345
Yes (verified by ORBilu)
International
1050-6926
1559-002X
New York
NY
[en] Curvature ; gradient estimate ; log-Sobolev inequality
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/28890
10.1007/s12220-017-9905-1
http://doi.org/10.1007/s12220-017-9905-1
FnR ; FNR7628746 > Anton Thalmaier > GEOMREV > Geometry of random evolutions > 01/03/2015 > 28/02/2018 > 2014

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