β-黎曼空间的变化及一种形式β的特殊情况

Journal of Nepal Mathematical Society Pub Date : 2018-02-11 DOI:10.3126/jnms.v1i1.42172

Khageshwar Mandal

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摘要

本文考虑由L = f(L;(β)，其中f是L和β中的任意1次正齐次函数。本文的目的是得到黎曼空间的β-变化，芬斯勒度量的射影变化，并讨论一种形式β的特殊情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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β-Change of Riemannian Space and Special Cases of one-form β

In this paper, we consider β-change of Finsler metric L given by L = f(L; β), where f is any positively homogeneous function of degree one in L and β. The objectives of the paper are to obtain the β-change of a Riemannian space, projective change of Finsler metric and to discuss the special cases of one-form β.

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Journal of Nepal Mathematical Society

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