| 标量曲率Finsler空间与Finsler度量的射影变换 |
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| 引用本文： | 程新跃.标量曲率Finsler空间与Finsler度量的射影变换[J].数学杂志,2003,23(4):455-462. |
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| 作者姓名： | 程新跃 |
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| 作者单位： | 重庆工学院数学系,重庆,400050 |
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| 基金项目： | SupportedbyNationalNaturalScienceFoundationofChina(10171117)andScienceFoundationofChongqingEducatonCommittee. |
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| 摘 要： | 本文研究了与一个Ricci平坦Finsler空间或一个常曲率Finsler空间射影相关的标量曲率Finsler空间．我们给出了这种标量曲率Finsler空间成为常曲率空间的充分必要条件.特别地，我们给出了射影平坦Finsler空间具有常曲率的条件．
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| 关 键 词： | Finsler空间 Ricci曲率 射影变换 常曲率Finsler空间 |
FINSLER SPACES OF SCALAR CURVATURE AND PROJECTIVE CHANGES OF FINSLER METRICS |
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| CHEN Xin-yue.FINSLER SPACES OF SCALAR CURVATURE AND PROJECTIVE CHANGES OF FINSLER METRICS[J].Journal of Mathematics,2003,23(4):455-462. |
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| Authors: | CHEN Xin-yue |
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| Abstract: | In this paper,we study the Finsler spaces of scalar curvature which are pointwise projective to a Finsler space of Ricci-flat(i.e.the Ricci curvature Ric=0)or a Finsler space of constant curvature respectively.We obtain some sufficient and necessary conditions under which such Finsler spaces of scalar curvature become the Finsler spaces of constant curvature.Particularly,we give some conditions that a projectively flat Finsler space is of constant curvature. |
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| Keywords: | Finaler space Ricci curvature projective change Finsler space of constant curvature |
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