Speaker: Bin Wang, The Chinese University of Hong Kong

Time: 09:00-10:00 a.m., May 15, 2024, GMT+8

Venue: online, Zoom: 879 2483 3067   Password: 702831

Abstract: 

We derive global curvature estimates for closed strictly starshaped (n-2)-convex hypersurfaces in warped product manifolds, satisfying the prescribed (n-2)-curvature equation with a general right-hand side. The proof is inspired by the recent breakthrough of [Guan-Ren-Wang CPAM 2015] and it can be readily adapted to establish curvature estimates for semi-convex and (k+1)-convex solutions to the general k-curvature equations; it can also be used to prove the same estimates for prescribed curvature measure type equations. If time permits, we may also discuss the estimates for another class of Hessian type equations.

Source: Beijing International Center for Mathematical Research, PKU