Harnack inequality, heat kernel bounds and eigenvalue estimates under integral Ricci curvature bounds
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DOI: 10.1016/j.jde.2020.01.003
Abstract: Abstract Let ( M n , g i j ) be a complete Riemannian manifold. We prove that for any p > n 2 , when k ( p , 1 ) is small enough,… read more here.
Keywords: curvature bounds; integral ricci; ricci curvature; heat ... See more keywords
Segment Inequality and Almost Rigidity Structures for Integral Ricci Curvature
Sign Up to like & getrecommendations! Published in 2020 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnab065
Abstract: We will show the Cheeger–Colding segment inequality for manifolds with integral Ricci curvature bound. By using this segment inequality, the almost rigidity structure results for integral Ricci curvature will be derived by a similar method… read more here.
Keywords: integral ricci; ricci curvature; segment inequality;