|Graduate School of Science||Mathematics and Mathematical Sciences||Associate Professor|
I am studying various kinds of curvature. It has connections with many fields including heat propagations and optimal transport theory.
Overview of your research
My researc covers, for example, the curvature of Finsler manifolds where the forward and backword distances can be distinct, and the influence of the curvature to heat propagation via the interpretation of heat flow as the gradient flow of a certain entropy functional.
Fields of research (key words)
differential geometry, curvature, optimal transport, heat flow, gradient flow