Ricci Bounds for Euclidean and Spherical Cones

Details Ricci Bounds for Euclidean and Spherical Cones Ricci Bounds for Euclidean and Spherical Cones

2010-03-10

arxiv.org/abs/1003.2114v1

Mathematics

Differential Geometry

12 pages, 3 figures

Scientific paper

We prove generalized lower Ricci bounds for Euclidean and spherical cones over compact Riemannian manifolds. These cones are regarded as complete metric measure spaces. We show that the Euclidean cone over an n-dimensional Riemannian manifold whose Ricci curvature is bounded from below by n-1 satisfies the curvature-dimension condition CD(0,n+1) and that the spherical cone over the same manifold fulfills the curvature-dimension condition CD(n,n+1).

Affiliated with

Also associated with

No associations

Rating

Ricci Bounds for Euclidean and Spherical Cones does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ricci Bounds for Euclidean and Spherical Cones, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ricci Bounds for Euclidean and Spherical Cones will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-342094