子流形刚性定理

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CLC Number:

53C40

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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１　ＣｈｅｎＢＹ．Ｇｅｏｍｅｔｒｙｏｆｓｕｂｍａｎｉｆｏｌｄｓ．ＮｅｗＹｏｒｋ：ＭａｒｃｅｌＤｅｋｋｅｒＩｎｃ，１９７３
２　ＣｈｅｎＢＹ．Ｔｏｔａｌｍｅａｎｃｕｒｖａｔｕｒｅａｎｄｓｕｂｍａｎｉｆｏｌｄｓｏｆｆｉｎｉｔｅｔｙｐｅ．ＷｏｒｌｄＳｃｉｅｎｔｉｆｉｃＰｕｂｌｉｓｈｉｎｇＣｏＰｔｅｌｔｄ，１９８４．Ｓｉｎｇａｐｏｒｅ
３　ＦｅｒｕｓＤ．Ｔｏｔａｌｅａｂｓｏｌｕｔｋｒｕｍｍｕｎｇｉｎｄｉｆｆｅｒｅｎｔｉａｌｇｅｏｍｅｔｒｉｅａｎｄｔｏｐｏｌｏｇｉｅ．ＬｅｃｔｕｒｅＮｏｔｅｓ６６，ＳｐｒｉｎｇｅｒＶｅｒｌａｇ，１９６８
４　ＬｉＧＨ，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，ＸｕＨＷ．Ｒｉｇｉｄｉｔｙａｎｄｓｐｈｅｒｅｔｈｅｏｒｅｍｓｆｏｒｓｕｂｍａｎｉｆｏｌｄｓ．ＫｙｕｓｈｕＪＭａｔｈ，１９９４，４８：２９１－３０６

[1]	WANG Lin-Feng. Estimates of Heat Kernel with Potential on Complete Manifold [J]. Acta mathematica scientia,Series A, 2004, 4(6): 699-713.
[2]	SHU Shi-Chang, LIU San-Yang. Complete Space like Submanifolds with Flat Connection of Normal Bundle in the de Sitter Space [J]. Acta mathematica scientia,Series A, 2004, 24(4): 464-468.

Rigidity Theorems for Submanifolds

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