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PROJECTIVE CURVATURE COLLINEATION IN FINSLER SPACES

 

作者: S.P. Sinch,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1999)
卷期: Volume 22, issue 2  

页码: 231-239

 

ISSN:1607-3606

 

年代: 1999

 

DOI:10.1080/16073606.1999.9632078

 

出版商: Taylor & Francis Group

 

关键词: 53B40

 

数据来源: Taylor

 

摘要:

The present author (1984, 1987) has developed curvature collineation in Finsler spaces. Projective motion in a symmetric Finsler space was discussed by F.M. Meher (1972). An infinitesimal transformation is said to define a curvature collineation if the curvature tensor possesses vanishing Lie-derivative with respect to the transformation. The present paper is concerned with the study of curvature collineation in which infinitesimal transformation also admits projective motion in a Finsler space. The last section of this paper is devoted to discuss special cases where the vector field Vi(x) determines contra field and current field.

 

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