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摘要: |
本文研究了复射影空间中具有常数量曲率的完备全实子流形的问题.利用丘成桐的广义极大值原理和自伴随算子,获得了这类子流形的某些内蕴刚性定理. |
关键词: 复射影空间 完备 数量曲率 全脐 |
DOI: |
分类号:O186.12 |
基金项目:安徽省高等学校自然科学研究项目基金(KJ2011Z149). |
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ON COMPLETE TOTALLY REAL SUBMANIFOLDS WITH CONSTANT SCALAR CARVATURE IN THE COMPLEX PROJECTIVE SPACE |
LIU Min
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Abstract: |
In this paper,the authors study the complete totally real submanifolds with constant scalar curvture in the complex projective space.By making use of the generalized maximal principle and self-adjoint differential operator of Yau,we obtain some intrinsic rigidity theorems. |
Key words: complex projective space complete scalar curvature totally umbilical |