ON COMPLEX FINSLER SPACES WITH RANDERS METRIC

被引：28

作者：

Aldea, Nicoleta ^{[1
]}

Munteanu, Gheorghe ^{[1
]}

机构：

[1] Transilvania Univ, Fac Math & Informat, Brasov 500091, Romania

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 05期

关键词：

complex Finsler spaces; Randers spaces; MANIFOLDS;

D O I：

10.4134/JKMS.2009.46.5.949

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Kahler-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.

引用

页码：949 / 966

页数：18

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