### Ricci curvature of Finsler manifolds, towards applications in the geometry of Banach spaces

Ohta, S *(Kyoto)*

Wednesday 01 June 2011, 14:00-15:00

Seminar Room 1, Newton Institute

#### Abstract

I will introduce the notion of Ricci curvature for general Finsler manifolds. Bounding this curvature from below is equivalent to Lott, Sturm and Villani's curvature-dimension condition, and there are further applications (e.g., a Bochner-type formula and gradient estimates).
I also would like to discuss some possible applications of this differential geometric technique to the geometry of Banach spaces.

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