African Diaspora Journal of Mathematics

Projective Motion in Special Finsler Spaces

P. N. Pandey and S. K. Shukla

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Abstract

The present paper deals with the differential geometry of a Finsler space whose projective deviation tensor satisfies certain conditions. It discusses the projective motion in such Finsler space. A sufficient condition has been obtained for the projective motion to be an affine motion in a Finsler space whose projective deviation tensor is recurrent. Similar problems have been discussed for recurrent and projective recurrent Finsler spaces. It is established that the projective motion, in a Finsler space for which the covariant derivative of the projective deviation tensor is symmetric, is an affine motion or the space is of scalar curvature .

Article information

Source
Afr. Diaspora J. Math. (N.S.), Volume 13, Number 2 (2012), 74-80.

Dates
First available in Project Euclid: 2 November 2012

Permanent link to this document
https://projecteuclid.org/euclid.adjm/1351864734

Mathematical Reviews number (MathSciNet)
MR3006754

Zentralblatt MATH identifier
1269.53024

Subjects
Primary: 53B40: Finsler spaces and generalizations (areal metrics)

Keywords
Projective motion Affine motion Projective deviation tensor Recurrent and Projective recurrent Finsler spaces

Citation

Pandey, P. N.; Shukla, S. K. Projective Motion in Special Finsler Spaces. Afr. Diaspora J. Math. (N.S.) 13 (2012), no. 2, 74--80. https://projecteuclid.org/euclid.adjm/1351864734


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