Summary
In a previous paper [2] some commutation formulae have been established on the principle of mathematical induction. The present paper includes the commutation formulae involving the covariant derivatives of Cartan and of Berwald. In this paper, too, the method of mathematical induction has been used.
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References
L. Berwald,Über Finslersche und Cartansche Geometrie, IV.Projektivkrümmung allgemeiner affiner Räume und Finslersche Räume skalarer Krümmung, « Ann. Math. » (2) 48, 755–781 (1947).
R. B. Misra,The commutation formulae in a Finsler space. I, « Ann. Mat. Pura Appl. », (IV), vol. LXXV, pp. 361–368 (1967).
H. Rund,The Differential Geometry of Finsler Spaces, Springer-Verlag (1959).
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Mishra, R.B. The commutation formulae in a finsler space. II. Annali di Matematica 75, 371–383 (1967). https://doi.org/10.1007/BF02416810
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DOI: https://doi.org/10.1007/BF02416810