On a Complex Randers Space

被引:0
作者
Sweta Kumari
P. N. Pandey
机构
[1] University of Allahabad,Department of Mathematics
来源
National Academy Science Letters | 2019年 / 42卷
关键词
Finsler space; Randers space; Complex Randers space; Chern–Finsler connection coefficients; 53B40; 53C56;
D O I
暂无
中图分类号
学科分类号
摘要
In the present paper, a complex Randers space with the metric F=α+εβ+kβ2α,ε,k≠0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ F = \alpha + \varepsilon \left| \beta \right| + k\frac{{\left| \beta \right|^{2} }}{\alpha },\varepsilon ,k \ne 0 $$\end{document} is introduced and expressions for fundamental metric tensor, angular metric tensor, Chern–Finsler connection coefficients and curvature are obtained.
引用
收藏
页码:123 / 130
页数:7
相关论文
共 14 条
[1]  
Rizza G(1963)Strutture di Finsler di Tipo quasi hermitiano Riv Mat Univ Parma 4 83-106
[2]  
Kobayashi S(1967)Distance, holomorphic mappings and the Schwarz lemma J Math Soc Jpn 19 481-485
[3]  
Shen Z(2008)On a class of projectively Flat metric with constant Flag curvature Can J Math 60 443-456
[4]  
Yildirim GC(2009)On complex Finsler spaces with Randers metric J Korean Math Soc 46 949-966
[5]  
Aldea N(2004)Zermelo navigation on Riemannian manifolds J Differ Geom 66 377-435
[6]  
Munteanu G(1977)On Randers spaces of scalar curvature Rep Math Phys 11 347-360
[7]  
Bao D(1989)Randers spaces of constant curvature Rep Math Phys 28 249-261
[8]  
Robles C(2003)Projective flatness of complex Finsler metrics Publ Math Debrecen 63 343-362
[9]  
Shen Z(2001)The structure equations of a complex Finsler manifold Asian J Math 5 291-326
[10]  
Yasuda H(undefined)undefined undefined undefined undefined-undefined