arXiv Analytics

Sign in

arXiv:1612.03027 [math.DG]AbstractReferencesReviewsResources

Geometric inequalities for manifolds with Ricci curvature in the Kato class

Gilles Carron

Published 2016-12-09Version 1

We obtain an Euclidean volume growth results for complete Riemannian manifolds satisfying a Euclidean Sobolev inequality and a spectral type condition on the Ricci curvature. We also obtain eigenvalue estimates, heat kernel estimates, Betti number estimates for closed manifolds whose Ricci curvature is controlled in the Kato class.

Categories: math.DG
Subjects: 53C21, 58J35, 58C40, 58J50
Related articles: Most relevant | Search more
arXiv:0710.2033 [math.DG] (Published 2007-10-10, updated 2008-04-23)
Ricci curvature and conformality of Riemannian manifolds to spheres
arXiv:2211.11715 [math.DG] (Published 2022-11-21)
Geometric inequalities on Closed Surfaces with $λ_1(-Δ+β K)\geq0$
arXiv:math/0510308 [math.DG] (Published 2005-10-14, updated 2005-10-30)
Ricci curvature and Yamabe constants

Links

Toolbox