| Beltrami定理的推广 |
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| 引用本文： | 蔡开仁,陆明.Beltrami定理的推广[J].数学杂志,2009,29(6). |
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| 作者姓名： | 蔡开仁 陆明 |
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| 作者单位： | 杭州师范学院理学院,浙江,杭州,310036 |
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| 摘 要： | 本文研究了Berwald流形之间的射影对应.利用Berwald流形上Weyl射影曲率张量的射影不变性,证明了当n>2时,与射影平坦的Berwald流形射影对应的黎曼流形M~n是常曲率流形,从而推广了Beltrami定理.
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| 关 键 词： | Finsler流彤 Berwald流形 射影平坦 Beltrami定理 |
A GENERALIZATION OF THE BELTRAMI THEOREM |
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| CAI Kai-ren,LU Ming.A GENERALIZATION OF THE BELTRAMI THEOREM[J].Journal of Mathematics,2009,29(6). |
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| Authors: | CAI Kai-ren LU Ming |
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| Abstract: | In the article,we study the projective maps between Berward manifolds.By using the projective invariant of Weyl projective curvature tensor,we prove that an n-dimensional Riemannian manifold which projectively corresponds to a projective flat Berwald manifold must have constant sectional curvature(n>2).Thus we generalize the Beltrami theorem. |
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| Keywords: | Finsler manifold Berwald manifold projective flat Beltrami theorem |
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