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Four-Dimensional Conformally Flat Berwald and Landsberg Spaces


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1 Centre for Mathematics and Statistics, Central University of Punjab, Bathinda-151001, India
     

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The problem of conformal transformation and conformal flatness of Finsler spaces has been studied in [6], [16], [17], [20], [21]. Recently, Prasad et. al [19] have studied three dimensional conformally flat Landsberg and Berwald spaces and have obtained some important results. The purpose of the present paper is to extend the idea of conformal change to four dimensional Finsler spaces and find the suitable conditions under which a four dimensional conformally at Landsberg space becomes a Berwald space.

Keywords

Miron Frame, Conformal Transformation, Conformally Flat Spaces, Berwald Spaces, Landsberg Spaces.
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  • Four-Dimensional Conformally Flat Berwald and Landsberg Spaces

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Authors

Gauree Shanker
Centre for Mathematics and Statistics, Central University of Punjab, Bathinda-151001, India

Abstract


The problem of conformal transformation and conformal flatness of Finsler spaces has been studied in [6], [16], [17], [20], [21]. Recently, Prasad et. al [19] have studied three dimensional conformally flat Landsberg and Berwald spaces and have obtained some important results. The purpose of the present paper is to extend the idea of conformal change to four dimensional Finsler spaces and find the suitable conditions under which a four dimensional conformally at Landsberg space becomes a Berwald space.

Keywords


Miron Frame, Conformal Transformation, Conformally Flat Spaces, Berwald Spaces, Landsberg Spaces.

References