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1983 A relative theory of Finsler spaces
Makoto Matsumoto
J. Math. Kyoto Univ. 23(1): 25-37 (1983). DOI: 10.1215/kjm/1250521608


We consider a Finsler space $F^{n}$ equipped with a fundamental function $L(x, y)$. Let $g(x, y)$ be the determinant consisting of components $g_{ij}(x, y)$ of the fundamental tensor of $F^{n}$. We sometimes have experience giving us to understand some importance of the scalar ${}^{*}L =Lg^{w/2}$ as it will be reported in §2. Thus it seems to the present author that a theory of Finsler spaces based on this scalar ${}^{*}L(x, y)$ may come in useful. The main purpose of the present paper is to construct metrical Finsler connections from ${}^{*}L(x, y)$.


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Makoto Matsumoto. "A relative theory of Finsler spaces." J. Math. Kyoto Univ. 23 (1) 25 - 37, 1983.


Published: 1983
First available in Project Euclid: 17 August 2009

zbMATH: 0514.53021
MathSciNet: MR692727
Digital Object Identifier: 10.1215/kjm/1250521608

Rights: Copyright © 1983 Kyoto University

Vol.23 • No. 1 • 1983
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