On a hypersurface of a Matsumoto space

被引：0

作者：

Singh, UP ^{[1
]}

Kumari, B ^{[1
]}

机构：

[1] DDU Gorakhpur Univ, Dept Math & Stat, Gorakhpur, Uttar Pradesh, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2001年 / 32卷 / 04期

关键词：

hypersurface; Matsumoto space; Randers space; Finsler space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1985, Matsumoto(6) discussed the properties of special hypersurface of Randers space with b(i)(x)= partial derivative (i)b being the gradient of a scalar function b(x). He has considered a hypersurface which is given by b(x) = constant. In this paper, we have considered the hypersurface of Matsumoto space with the same equation b(x) = constant. The conditions under which this hypersurface be a hyperplane of the first or second kinds have been obtained. This hypersurface is not a hyper-plane of third kind.

引用

页码：521 / 531

页数：11

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