Some Finsler spaces with homogeneous geodesics

Yan Zaili

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Some Finsler spaces with homogeneous geodesics

机译：一些具有齐次测地线的 Finsler 空间

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A geodesic in a homogeneous Finsler space (G/H, F) is called a homogeneous geodesic if it is an orbit of a one-parameter subgroup of G. A homogeneous Finsler space (G/H, F) is called Finsler g.o. space if its all geodesics are homogeneous. Recently, the author studied Finsler g.o. spaces and generalized some geometric results on Riemannian g.o. spaces to the Finslerian setting. In the present paper, we investigate homogeneous geodesics in homogeneous (alpha,beta) spaces, and obtain the sufficient and necessary condition for an (alpha,beta) space to be a g.o. space. As an application, we get a series of new examples of Finsler g.o. spaces. (C) 2016 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim

机译：齐次 Finsler 空间（G/H， F）中的测地线如果是 G 的单参数子群的轨道，则称为齐次测地线。齐次 Finsler 空间（G/H， F）如果其所有测地线都是齐次的，则称为 Finsler g.o. 空间。最近，作者研究了Finsler g.o.空间，并将黎曼g.o.空间的一些几何结果推广到Finslerian设置中。本文研究了齐次（alpha，beta）空间中的齐次测地线，并获得了（alpha，beta）空间为g.o.空间的充分和必要条件。作为一个应用程序，我们得到了一系列 Finsler g.o. 空间的新示例。（C） 2016 WILEY-VCH Verlag GmbH & Co. KGaA， Weinheim

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来源
《Mathematische Nachrichten》 |2017年第3期|474-481|共8页
作者
Yan Zaili;
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作者单位

Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
Homogeneous geodesics (alpha; beta) spaces; g.o. spaces;

机译：齐次测地线（alpha;beta）空间;G.O. 空间;

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Some Finsler spaces with homogeneous geodesics

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