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On complex Finsler spaces with Randers metric

Nicoleta Aldea|Gheorghe Munteanu
대한수학회 (The Korean Mathematical Society)|2009.09|대한수학회지 (Journal of the KMS)|제46권 제5호|pp. 949-966

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참고문헌

키워드

complex Finsler spacesRanders spaces
주제분류수학

초록

In this paper we introduce in study a new class of complex Finsler spaces, namely the complex Randers spaces, for which the fundamental metric tensor and the Chern-Finsler connection are determined. A special approach is devoted to Kähler-Randers metrics. Using the length arc parametrization for the extremal curves of the Euler-Lagrange equations we obtain a complex nonlinear connections of Lorentz type in a complex Randers space.

Abstract

In this paper we introduce in study a new class of complex Finsler spaces, namely the complex Randers spaces, for which the fundamental metric tensor and the Chern-Finsler connection are determined. A special approach is devoted to Kähler-Randers metrics. Using the length arc parametrization for the extremal curves of the Euler-Lagrange equations we obtain a complex nonlinear connections of Lorentz type in a complex Randers space.

참고문헌 (21)

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