子流形对外围空间的一个拼挤定理

子流形对外围空间的一个拼挤定理 A Pinching Theorem for Submanifolds of Conformally Flat Riemannian Manifolds 王琪 WANG Qi 1 first-author 浙江大学数学系,浙江,杭州,310028 浙江大学数学系,浙江,杭州,310028 Department of Mathematics, Zhejiang University Department of Mathematics, Zhejiang University 首先得到一个推广的Simons型积分不等式,然后用它给出共形平坦黎曼流形中紧致极小子流形对外围空间的一个拼挤定理. The author first works out a generalized Simons inequality, then proves a pinching theorem of minimal submanifolds to the ambient Riemannian manifolds by using the generalized inequality. 共形平坦 紧致极小子流形 Ricci曲率 拼挤 conformally flat compact minimal submanifolds Ricci curvature pinching O186 国家自然科学基金资助项目（10271106） 2003-05-01 2021-04-01 5