| 拟脐超曲面中的稳定积分流 |
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| 引用本文： | 张学山.拟脐超曲面中的稳定积分流[J].鲁东大学学报,1999(1). |
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| 作者姓名： | 张学山 |
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| 作者单位： | 烟台大学数学与信息科学系 |
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| 摘 要： | 设Ｎｎ是常曲率空间Ｍｎ＋１（ｃ）中的紧致拟脐超曲面．证明了在一些几何条件下，Ｎｎ中不存在ｐ－维稳定积分流，相应地，Ｎｎ的ｐ－维同调群消没．
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| 关 键 词： | 拟脐超曲面，形算子，稳定积分流，同调群，同胚 |
On stable integral currents in quasi umbilical hypersurfaces |
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| Zhang Xueshan.On stable integral currents in quasi umbilical hypersurfaces[J].Ludong University Journal (Natural Science Edition),1999(1). |
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| Authors: | Zhang Xueshan |
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| Abstract: | Let N n
be a compact quasi umbilical hypersurface immersed in a Riemannian manifold M n 1 (c) of
constant curvature.It is proved that under some geometrical conditions,there exists no stable
integral p current in N n and thus the homology group of N n vanishes. |
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| Keywords: | quasi umbilical hypersurface shape operator stable integral current homology group homeomorphism |
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