Zermelo navigation on Riemannian manifolds

Zermelo navigation on Riemannian manifolds
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DOI:
10.4310/jdg/1098137838
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发表时间:
2003-11
影响因子:
2.5
通讯作者:
D. Bao;C. Robles;Zhongmin Shen
D. Bao;C. Robles;Zhongmin Shen
中科院分区:
数学1区
文献类型:
--
作者:
D. Bao;C. Robles;Zhongmin Shen

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本文研究了黎曼流形上的Zermelo导航,并利用它解决了Finsler几何中一个长期存在的问题,即常旗曲率强凸兰德斯度量的完全分类.
In this paper, we study Zermelo navigation on Riemannian manifolds and use that to solve a long standing problem in Finsler geometry, namely the complete classification of strongly convex Randers metrics of constant flag curvature.