Prescribed curvature measure problem in the hyperbolic space

Speaker:Fengrui Yang (University of Freiburg)

Title: Prescribed curvature measure problem in the hyperbolic space

Abstract:

The problem of the prescribed curvature measure is one of the important problems in differential geometry and nonlinear partial differential equations. In this talk, I will talk about the prescribed curvature measure problem in hyperbolic space.

We obtain the existence of star-shaped k-convex bodies with prescribed (n-k)-th curvature measures (k<n) by establishing crucial C2 regularity estimates for solutions to the corresponding fully nonlinear PDE in the hyperbolic space.

Zoom link:

https://oist.zoom.us/j/97820401253?pwd=K0xSR3RmRkV4YmROTWhlZm91UWpXQT09