Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (4): 480-484.
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LI Guang-Han, WU Chuan-Xi
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国家自然科学基金资助项目
Abstract:
该文改进了Ｓｈｉｏｈａｍａ和Ｘｕ的常曲率空间中子流形的刚性定理，得到了一个新的整体拼级常数犆狀，并且犆狀只与子流形的维数有关，而与其余维数无关．
Key words: 子流形, 全脐, 平均曲率, 刚性定理．
CLC Number:
LI Guang-Han, WU Chuan-Xi. Rigidity Theorems for Submanifolds[J].Acta mathematica scientia,Series A, 2001, 21(4): 480-484.
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http://actams.apm.ac.cn/sxwlxbA/EN/Y2001/V21/I4/480
１ ＣｈｅｎＢＹ．Ｇｅｏｍｅｔｒｙｏｆｓｕｂｍａｎｉｆｏｌｄｓ．Ｎｅｗ Ｙｏｒｋ：ＭａｒｃｅｌＤｅｋｋｅｒＩｎｃ，１９７３ ２ ＣｈｅｎＢＹ．Ｔｏｔａｌｍｅａｎｃｕｒｖａｔｕｒｅａｎｄｓｕｂｍａｎｉｆｏｌｄｓｏｆｆｉｎｉｔｅｔｙｐｅ．ＷｏｒｌｄＳｃｉｅｎｔｉｆｉｃＰｕｂｌｉｓｈｉｎｇＣｏＰｔｅｌｔｄ，１９８４．Ｓｉｎｇａ ｐｏｒｅ ３ ＦｅｒｕｓＤ．Ｔｏｔａｌｅａｂｓｏｌｕｔｋｒｕｍｍｕｎｇｉｎｄｉｆｆｅｒｅｎｔｉａｌｇｅｏｍｅｔｒｉｅａｎｄｔｏｐｏｌｏｇｉｅ．ＬｅｃｔｕｒｅＮｏｔｅｓ６６，ＳｐｒｉｎｇｅｒＶｅｒｌａｇ，１９６８ ４ ＬｉＧ Ｈ，ＷｕＣＸ．Ｃｏｎｆｏｒｍａｌｉｎｖａｒｉａｎｔｓｏｆｓｕｂｍａｎｉｆｏｌｄｓ．ＨｕｂｅｉＤａｘｕｅＸｕｅｂａｏＺｉｒａｎＫｅｘｕｅＢａｎ，２０００，２２：２２２－２２８ ５ ＬｉｎＪＭ，ＸｉａＣＹ．ＧｌｏｂａｌｐｉｎｃｈｉｎｇｔｈｅｏｒｅｍｓｆｏｒｅｖｅｎｄｉｍｅｎｓｉｏｎａｌｍｉｎｉｍａｌｓｕｂｍａｎｉｆｏｌｄｓｉｎａｕｎｉｔＳｐｈｅｒｅ．ＭａｔｈＺ，１９８９，２０１：３８１－３８９ ６ ＳｈｅｎＣＬ．ＡＧｌｏｂａｌｐｉｎｃｈｉｎｇｔｈｅｏｒｅｍｆｏｒｍｉｎｉｍａｌｈｙｐｅｒｓｕｒｆａｃｅｓｉｎａＳｐｈｅｒｅ．ＰｒｏｃＡｍｅｒＭａｔｈＳｏｃ，１９８９，１０５：１９２－１９８ ７ ＳｈｉｏｈａｍａＫ，ＸｕＨ Ｗ．Ｒｉｇｉｄｉｔｙａｎｄｓｐｈｅｒｅｔｈｅｏｒｅｍｓｆｏｒｓｕｂｍａｎｉｆｏｌｄｓ．ＫｙｕｓｈｕＪＭａｔｈ，１９９４，４８：２９１－３０６
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