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20200619 Chengjie Yu De Rham Decomposition for Riemannian manifolds with boundary, Cartan-Ambrose-Hicks and Fundamental theorem for submanifolds

澳门金莎娱乐官网:2020-06-18 09:31    浏览次数:    来源:

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Abstract: We will first talk about de Rham decomposition for Riemannian manifolds with boundary. In the course of proving the decomposition, we need a new form of Cartan-Ambrose-Hicks theorem. Finally, inspired by the new form of Cartan-Ambrose-Hicks theorem, we have a generalization of the fundamental theorem for submanifolds which works for any ambient spaces.

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