马飙:A Liouville’s theorem for some Monge-Ampère type equations
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
马飙,北京大学
Inviter:
Title:
A Liouville’s theorem for some Monge-Ampère type equations
Language:
Chinese
Time & Venue:
2023.04.04 思源楼 525
Abstract:
We study a Monge-Ampère type equation which interpolates the sigma_2-Yamabe equation in conformal geometry and the 2-Hessian equation. In dimension 4, we prove a corresponding Liouville’s theorem. Our approach utilizes a monotonic quasi-local mass type quantity. It is a joint work with Professors Hao Fang and Wei Wei.