Title： Interior curvature estimate for scalar curvature equation

Speaker：Guohuan Qiu  (McGill University)

Time：2018年5月7日    下午 14:30-15:30

Room：东区管理科研楼   数学科学学院1518室

Abstract： Motived by the Weyl problem, Heinz proved an apriori interior curvature estimate for the Monge-Ampere equation in dimension two. But this type of estimate is false by Pogorelov's count-example for higher dimensional Monge-Ampere equations. Joint with Professor Pengfei Guan, we generalize Heinz's estimate in the higher dimensional isometric immersed hypersurfaces. Moreover,  I proved an interior estimate for prescribed scalar curvature equations in dimension three without the convexity assumption in the paper joint with Guan. This is based my new observation about the scalar curvature equation in dimension three.