| 一类新的具有标量旗曲率Finsler度量 |
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| 引用本文： | 宋卫东,汪兴上.一类新的具有标量旗曲率Finsler度量[J].数学研究及应用,2012,32(4):485-492. |
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| 作者姓名： | 宋卫东 汪兴上 |
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| 作者单位： | 安徽师范大学数学计算机科学学院, 安徽 芜湖 241000;安徽师范大学数学计算机科学学院, 安徽 芜湖 241000 |
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| 基金项目： | 中国国家自然科学基金(No.11071005),高等学校优秀青年人才基金项目资助(Grant No.2011SQRL021ZD),安徽省教育厅自然科学重点项目(Grant No.KJ2010A125). |
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| 摘 要： | In this paper,we study a new class of general(α,β)-metrics F defined by a Riemannian metric α,a 1-form β and C ∞ function φ(b2,s).We provide the projective factor of a class of general(α,β)-metrics F=αφ(b2,s),and apply these formulae to compute its flag curvature.
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| 关 键 词： | scalar flag curvature locally projectively flat general(α β)-metrics. |
| 收稿时间： | 2011/4/20 0:00:00 |
| 修稿时间： | 2011/10/31 0:00:00 |
A New Class of Finsler Metrics with Scalar Flag Curvature |
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| Weidong SONG and Xingshang WANG.A New Class of Finsler Metrics with Scalar Flag Curvature[J].Journal of Mathematical Research with Applications,2012,32(4):485-492. |
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| Authors: | Weidong SONG and Xingshang WANG |
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| Institution: | School of Mathematics and Computer Science, Anhui Normal University, Anhui 241000, P. R. China;School of Mathematics and Computer Science, Anhui Normal University, Anhui 241000, P. R. China |
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| Abstract: | In this paper, we study a new class of general $(\alpha,\beta)$-metrics $F$ defined by a Riemannian metric $\alpha$, a 1-form $\beta$ and ${\mathcal {C}}^{\infty}$ function $\phi(b^{2},s)$. We provide the projective factor of a class of general $(\alpha,\beta)$-metrics $F=\alpha\phi(b^{2},s)$, and apply these formulae to compute its flag curvature. |
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| Keywords: | scalar flag curvature locally projectively flat general $(\alpha \beta)$-metrics |
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