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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ANALYSIS OF WAGNER CONNECTION OF A FINSLER SPACE WITH MTH-ROOT METRIC

    1 Author(s):  ANIL KUMAR JAISWAL

Vol -  12, Issue- 7 ,         Page(s) : 48 - 56  (2021 ) DOI : https://doi.org/10.32804/IRJMST

Abstract

The theory of mth-root metrics has been first developed by Shimada (1979) as an interesting example of Finsler metric, immediately following Matsumoto and Numata’s theory of cubic metric (1979). By introducing the regularity of the metric various fundamental quantities as a Finsler metric has been found by Matsumoto and Okubo (1995). In particular, they found the Cartan connection of a Finsler space with mth-root metric.

[1] Antonelli, P.L.; Ingarden, R.S. and Matsumoto, M. (1993) : The theory of sprays and Finsler spaces with applications in Physics and Biology, Kluwer Academic Publications, Dordrecht/Boston/London.
[2] Berwald, L. (1926) : Untersuchung der Krummung allgemeiner metrischer Raume auf Grund des in ihnen herrschenden parallelisms, Math. Z., 25, 40. 

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