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On the flag curvature
of a class of Finsler metrics produced by the navigation
problem
Libing Huang and Xiaohuan Mo |
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Vol. 277 (2015), No. 1, 149–168
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Abstract |
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One of the important approaches in discussing Finsler geometry is the navigation problem. In this paper, we determine the flag curvature of a Finsler metric produced from any Finsler metric and any conformal field in terms of the navigation problem, and therefore we provide a unifying framework for the fundamental equations due to Bao, Robles, and Shen, Cheng and Shen, Foulon, and Mo and Huang. |
Keywords
Finsler metric, flag curvature, conformal field, navigation
problem
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Mathematical Subject Classification 2010
Primary: 58E20
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Milestones
Received: 15 December 2013
Accepted: 9 January 2015
Published: 6 August 2015
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Authors |
| Libing Huang | |
| School of Mathematical
Sciences Nankai University Tianjin, 300071 China |
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| Xiaohuan Mo | |
| Key Laboratory of Pure and Applied
Mathematics School of Mathematical Sciences Peking University Beijing, 100871 China |
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