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关于子流形的几个 Pinching 定理
Some Pinching Theorems for Submanifolds
【摘要】 研究复射影空间中紧致全实极小子流形和法丛平坦子流形,得到了关于数量曲率和截面曲率的几个Pinching定理.
【Abstract】 This note deals with compact totally real minimal submanifolds in complex projective spaces and submanifolds with flat normal bundle.Some pinching theorems for scalar curvature and sectional curvature are obtained.
【关键词】 子流形;
第二基本形式;
数量曲率;
截面曲率;
全测地子流形;
【Key words】 submanifolds; the second fundamental form; scalar curvature; sectional curvature; totally geodesic submanifolds;
【Key words】 submanifolds; the second fundamental form; scalar curvature; sectional curvature; totally geodesic submanifolds;
- 【文献出处】 武汉水利电力大学学报 ,JOURNAL OF WUHAN UNIVERSITY OF HYDRAULIC AND ELECTRIC ENGINEERING , 编辑部邮箱 ,1998年04期
- 【分类号】O186.12
- 【下载频次】16