Naturally reductive homogeneous (α, β) spaces

被引：3

作者：

Bahmandoust, Parisa ^{[1
]}

Latifi, Dariush ^{[1
]}

机构：

[1] Univ Mohaghegh Ardabili, Dept Math, POB 56199-11367, Ardebil, Iran

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2020年 / 17卷 / 08期

关键词：

Invariant metric; (alpha; beta)-metrics; Lie group; flag curvature; naturally reductive space; INVARIANT RANDERS METRICS;

D O I：

10.1142/S0219887820501170

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study naturally reductive (alpha, beta)-metrics on homogeneous manifolds. We show that naturally reductive (alpha, beta)-metrics arise only when alpha is naturally reductive and some conditions on phi is satisfied. We give an explicit formula for the flag curvature of naturally reductive (alpha, beta)-metrics which improves the flag curvature formula of naturally reductive Randers metrics given in [D. Latifi, Naturally reductive homogeneous Randers spaces, T. Geom. Phys. 60 (2010) 1968-1973]. As a special case, we give an explicit formula for the flag curvature of bi-invariant (alpha, beta)-metrics on Lie groups.

引用

页数：16

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