| Hypersurface with Constant Main Curvature Symmetric Functions |
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| 作者姓名： | 吴报强 宋鸿藻 |
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| 作者单位： | Wu Baoqiang; Song Hongzao(Xuzhou Teachers College，221009 ) (Henan University，Kaifeng，475001 ) |
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| 摘 要： | ＨｙｐｅｒｓｕｒｆａｃｅｗｉｔｈＣｏｎｓｔａｎｔＭａｉｎＣｕｒｖａｔｕｒｅＳｙｍｍｅｔｒｉｃＦｕｎｃｔｉｏｎｓ￥ＷｕＢａｏｑｉａｎｇ；ＳｏｎｇＨｏｎｇｚａｏ（ＸｕｚｈｏｕＴｅａｃｈｅｒｓＣｏｌｌｅｇｅ，２２１００９）（ＨｅｎａｎＵｎｉｖｅｒｓｉｔｙ，...
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Hypersurface with Constant Main Curvature Symmetric Functions |
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| Wu Baoqiang, Song Hongzao.Hypersurface with Constant Main Curvature Symmetric Functions[J].Chinese Quarterly Journal of Mathematics,1994(4). |
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| Authors: | Wu Baoqiang Song Hongzao |
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| Abstract: | Let M be a compact hypersurface in an (x 1)-dimensional complete constant curvature spuce N(c). If Ricci curvature of M is not less than max { 0, (n-1 )c} and there is a constant main curvature function in M,then M can be classified completly. This is the Liebmann theorem in the widest sense so far. The methods used in this paper can be used tO generalize a class of theorems with non-negntive (or positive) sectional curvature conditions. |
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| Keywords: | hypersurfaces main curvature symmetric functions Liebmann theorem |
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