| 局部对称共形平坦空间中带有平坦法丛的极小子流形 |
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| 引用本文： | 宋卫东. 局部对称共形平坦空间中带有平坦法丛的极小子流形[J]. 安徽师范大学学报(自然科学版), 1998, 21(2): 110-114 |
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| 作者姓名： | 宋卫东 |
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| 作者单位： | 安徽师范大学数学系 |
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| 摘 要： | 设Ｎ＾ｎ＋ｐ是ｎ＋ｐ维局部对称共形平坦的黎曼流形，Ｍ＾ｈ→Ｎ＾ｎ＋ｐ是ｎ维紧致无边且具有平坦法丛的极小子流形，本文讨论类子流形成为全测地的截面曲率、数量曲率的拼挤问题，推广了常曲率空间中相应的结果。
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| 关 键 词： | 局部对称 共形平坦 黎曼流形 子流形 平坦法丛 |
THE MINIMAL SUBMANIFOLD WITH FLAT NORMAL BUNDLE IN A LOCALLY SYMMETRIC AND CONFORMALLY FLAT RIEMANNIAN MANIFOLD |
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| Abstract: | This paper considers minimal submanifold with flat normal bundle in a locally symmetric and conformally flat Riemannian manifold. and generalize results on submanifolds in sphere to a locally symmetric and conformally flat Riemannian manifold. |
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| Keywords: | locally symmetric conformally flat minimal submanifold tolally geodesic submanifold |
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