International Research journal of Management Science and Technology

  ISSN 2250 - 1959 (online) ISSN 2348 - 9367 (Print) New DOI : 10.32804/IRJMST

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A SYSTEMATIC REVIEW OF SPECIAL FINSLER SPACES IN DIFFERENTIAL GEOMETRY

    1 Author(s):  ANIL KUMAR JAISWAL

Vol -  10, Issue- 3 ,         Page(s) : 180 - 185  (2019 ) DOI : https://doi.org/10.32804/IRJMST

Abstract

Almost 140 years have elapsed by since the main thought of an extraordinary Finsler geometry was defined by B. Riemann in 1854, and precisely 75 years have gone since the principal general meaning of this geometry was given by P. Finsler in 1918. In that drawn out stretch of time, a colossal measure of work has been done on numerical elaboration of this idea. The outcomes got are exhibited in a few monographs distributed since the late 1950’s (H. Rund., 1959).

[1] E.M. Patterson : Some theorems on Ricci recurrent spaces, J. London Math. Soc., 27 (1952), 287-295. 
[2] G. Walker : On Ruses's spaces of recurrent curvature, Proc. London Math. Soc., 52 (1950), 36-64. 
[3] G.S. Asanov : Finder Geometry, Relativity and Gauge Theories, Reidel, Dordrecht, (1985). 

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