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浙江大学学报(理学版)
数学与计算机科学     
关于复射影空间中极小子流形的某些整体 Pinching定理
浙江大学数学系,浙江 杭州 310028
On some global Pinching theorems for minimal submanifolds of a complex projective space.
Department of Mathematics,Zhejiang University, Hangzhou 310028,China
 全文: PDF(188 KB)  
摘要: 本文利用对复射影空间中紧致极小子流形的第二基本形式长度平方进行积分形式的估计方法,证明了复射影空间中紧致复子流形和紧致全实极小子流形的整体 Pinching定理.
关键词: 复射影空间全测地整体 Pinching    
Abstract: Let Mn be a compact minimal submanifold of a complex projective space CPn+ p, and e the second fundamental form of Mn. In this note, the results of [1] were improved and the following global Pinching theorems were obtained.
Key words: complex projective space    totally geodesic    global Pinching
出版日期: 2010-06-03
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王一令

引用本文:

王一令. 关于复射影空间中极小子流形的某些整体 Pinching定理[J]. 浙江大学学报(理学版), .

WANG Yi-ling. On some global Pinching theorems for minimal submanifolds of a complex projective space.. Journal of Zhejiang University (Science Edition), .

链接本文:

https://www.zjujournals.com/sci/CN/        https://www.zjujournals.com/sci/CN/Y2000/V27/I4/388

[1] 杜红权. 复射影空间的全实伪脐子流形[J]. 浙江大学学报(理学版), 1998, 25(2): 8-14.