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On conformal transformations of kropina metric (1985)

Singh, U. P. ; Singh, A. K.

Springer

Periodica mathematica Hungarica 16 (1985), S. 187-192

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ISSN: 1588-2829

Keywords: Primary 53B40 ; Secondary 53C20, 53C60 ; Finsler spaces ; Kropina spaces ; conformal transformations ; difference tensor

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract M. Hashiguchi [3] has studied the conformal theory of Finsler spaces. The theory of Kropina metric was investigated by L. Berwald [1] and V. K. Kropina [4]. The purpose of the present paper is to establish the conformal theory of Kropina metric. In this paper the transformation formulae for the difference tensor D ik i (x, $$\dot x$$ ) and Cartan's connection coefficients Γ k *i (x, $$\dot x$$ ) have been obtained.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01849841

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