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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


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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