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
收藏
页码：521 / 531
页数：11
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