EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 36(50), pp. 87--91 (1984)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

 		 

ON THE CURVATURE COLLINEATION IN FINSLER SPACE

S.P. Singh

Department of Mathematics, Kenyatta Univ. College, Box 43844, Nairobi, Kenya

Abstract: We define $\bar x^i=x^i+v^i(x)\delta t$ as the $h$-curvature collineation of a Finsler space, supposing that the Lie derivative of Bervald's curvature tensor is equal to zero. Then we prove that every motion and every homothetic transformation admitted in a Finsler space are $H$-curvature collineations. Some special cases are also discussed.

Classification (MSC2000): 53B40

Full text of the article:

Electronic fulltext finalized on: 3 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition