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A RESULT ON RICCI CURVATURE AND THE SECOND BETTI NUMBER
A RESULT RICCI CURVATURE THE SECOND BETTI NUMBER
2018/4/19
We prove that the second Betti number of a compact Riemannian manifoldvanishes under certain Ricci curved restriction.
Compact Mean Convex Hypersurfaces and the Fundamental Group of Manifolds with Nonnegative Ricci Curvature
Compact Mean Convex Hypersurfaces Fundamental Group of Manifolds Nonnegative Ricci Curvature
2011/1/19
We show that the existence of an embedded compact, boundaryless hypersurface S of strictly
positive mean curvature in a noncompact, connected, complete Riemannian n-manifold N of non-
negative Ricci...
Ricci curvature, entropy and optimal transport
Ricci curvature entropy optimal transport curvature-dimension condition
2010/12/8
This is the lecture notes on the interplay between optimal transport and Riemannian geometry. On a Riemannian manifold, the convexity of entropy along optimal transport in the space of probability mea...
Inequality for Ricci Curvature of Slant Submanifolds in Cosymplectic Space Forms
Mean curvature sectional curvature k-Ricci curvature slant submanifold semi-slant submanifold bi-slant submanifold cosymplectic space form
2010/2/26
In this article, we establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant and bi-sl...