Geometric Analysis Seminar ——Horospherically convex hypersurfaces and conformally invariant equations
报告人:李奇睿(浙江大学)
时间:2026-10-30 16:00-17:00
地点:智华楼312
Abstract : We discuss a curvature problem for horospherically convex hypersurfaces in hyperbolic space and their relation to conformally invariant equations on the sphere. In particular, we present existence of hypersurfaces with prescribed horospherical p-area measure, including the critical conformally invariant case p=−n. The main tools include curvature flows, variational methods and conformal blow-up analysis.