| A New Class of Finsler Metrics with Scalar Flag Curvature |
| Received:April 20, 2011 Revised:October 31, 2011 |
| Key Words:
scalar flag curvature locally projectively flat general $(\alpha,\beta)$-metrics.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11071005), Foundation for Excellent Young Talents of Higher Education (Grant No.2011SQRL021ZD) and the Natural Science Foundation of Anhui Educational Committee (Grant No.KJ2010A125). |
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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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2012.04.013 |
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