Homogeneous Function and its Applications in a Finsler Space
Commun. Korean Math. Soc. 1999 Vol. 14, No. 2, 385-392
Byung-Doo Kim, Eun-Seo Choi
Kyungil University, Yeungnam University
Abstract : We deal with a differential equation which is constructed from homogeneous function, and its geometrical meaning in a Finsler space. Moreover, we prove that a locally Minkowski space satisfying a differential equation $F_{\beta\beta\beta}=0$ is flat-parallel.
Keywords : homogeneous function, locally Minkowski, flat-parallel
MSC numbers : 53B40
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