Recurrent and torse-forming projective motions in a Finsler space

被引：0

作者：

Pandey, P. N. ^{[1
]}

Gupta, Manish K. ^{[1
]}

Singh, Abhay ^{[1
]}

机构：

[1] Univ Allahabad, Dept Math, Allahabad 211002, Uttar Pradesh, India

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2007年 / 77A卷

关键词：

Finsler space; affine motion; projective motion; recurrent vector field; torse-forming vector; CURVATURE;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In the present paper, the infinitesimal projective motions generated by recurrent and torse-forming vector fields in a Finsler space have been discussed. It has been established that the projective motion generated by a recurrent vector field v(i) satisfying B-j mu = mu(j) mu is a non-affine projective motion. This generalizes Sahoo's result. Certain theorems concerning a torse-forming vector field generating a projective motion in a Finsler space have also been obtained.

引用

页码：247 / 254

页数：8

共 20 条

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