| R~4中具有常数量曲率的完备超曲面 |
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| 引用本文： | 岳树松,李兴校.R~4中具有常数量曲率的完备超曲面[J].河南师范大学学报(自然科学版),1997,25(1):1-5. |
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| 作者姓名： | 岳树松 李兴校 |
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| 作者单位： | 河南师范大学成人教育学院 |
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| 摘 要： | Ｒ４中具有常数量曲率Ｒ＝０及常中曲率Ｈ≠０的完备连通超曲面是否只有Ｓ１（１｜Ｈ｜）×Ｒ２？这一问题虽然已有讨论但事实上并没有得到彻底解决．本文证明了一个定理，肯定地回答了上述问题
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| 关 键 词： | 数量曲率 中曲率 超曲面 |
Complete Hypersurfaces in R 4 with Constant Scalar Curvature and Mean Curvature |
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| Yue Shusong.Complete Hypersurfaces in R 4 with Constant Scalar Curvature and Mean Curvature[J].Journal of Henan Normal University(Natural Science),1997,25(1):1-5. |
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| Authors: | Yue Shusong |
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| Abstract: | Is S 1(1|H|)×R 2 the only hypersurfaces in R 4 with scalar curvature R=0 and constant mean curvature H≠0? This question has been discussed but not solved completely.In the present paper,we prove a theorem which answers affirmatively the above question. |
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| Keywords: | hypersurfaces scalar curvature mean curvature generalized maximal principle |
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