| 伪黎曼流形N_p~(n+p)(c)的紧致极大类空子流形 |
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| 引用本文： | 张梅,张瑰.伪黎曼流形N_p~(n+p)(c)的紧致极大类空子流形[J].徐州师范大学学报(自然科学版),2004(1). |
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| 作者姓名： | 张梅 张瑰 |
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| 作者单位： | 南京农业大学理学院 江苏南京 210095
(张梅)，中国人民解放军理工大学理学院 江苏南京 211101(张瑰) |
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| 摘 要： | 证明了Nn+pp(c)空间中紧致极大类空子流形当S≤-nc3n+25n+2时,Mn为全测地子流形或为截曲率等于13c的子流形.特别地,n=3时,Ric(M3)≤c,M3必为全测地.
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| 关 键 词： | 伪黎曼流形 类空子流形 全测地 |
The Compact Space-like Maximal Submanifolds of a Pseudo-Riemannian Space N_p~(n+p)(c) |
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| ZHANG Mei,ZHANG Gui.The Compact Space-like Maximal Submanifolds of a Pseudo-Riemannian Space N_p~(n+p)(c)[J].Journal of Xuzhou Normal University(Natural Science Edition),2004(1). |
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| Authors: | ZHANG Mei ZHANG Gui |
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| Institution: | ZHANG Mei~1,ZHANG Gui~2 |
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| Abstract: | Let M~n be a compact space-like maximal submanifold in an indefinite space-form (N~(n+1)_(p)(c)). A sharp estimate for the upper bound of the second fundamental form of M~n is obtained. Moreover, some results of Ricci curvature are extended and improved. |
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| Keywords: | pseudo-Riemannian manifold space-like submanifold totally geodesic |
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