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

Khageshwar Mandal
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Abstract

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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β-黎曼空间的变化及一种形式β的特殊情况
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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