ON COMPLEX FINSLER SPACES WITH RANDERS METRIC

被引：27
|
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
收藏
页码：949 / 966
页数：18
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