Improved geodesics for the reduced curvature-dimension condition in branching metric spaces

Details Improved geodesics for the reduced curvature-dimension condition in branching metric spaces Improved geodesics for the reduced curvature-dimension condition in branching metric spaces

2012-02-29

arxiv.org/abs/1202.6514v1

Mathematics

Differential Geometry

10 pages

Scientific paper

In this note we show that in metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we always have geodesics in the Wasserstein space of probability measures that satisfy the critical convexity inequality of CD*(K,N) also for intermediate times and in addition the measures along these geodesics have an upper-bound on their densities. This upper-bound depends on the bounds for the densities of the end-point measures, the lower-bound K for the Ricci-curvature, the upper-bound N for the dimension, and on the diameter of the union of the supports of the end-point measures.

Affiliated with

Also associated with

No associations

Rating

Improved geodesics for the reduced curvature-dimension condition in branching metric spaces 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 Improved geodesics for the reduced curvature-dimension condition in branching metric spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Improved geodesics for the reduced curvature-dimension condition in branching metric spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-524068