Homogeneous geodesics and natural reductivity of homogeneous Godel-type spacetimes

被引：0
|
作者：
Calvaruso, Giovanni [1 ]
Zaeim, Amirhesam [2 ]
机构：
[1] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, I-73100 Lecce, Prov Lecce Arne, Italy
[2] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2021年 / 159卷
关键词：
Homogeneous geodesics; g.o; spaces; manifolds; Naturally reductive spaces;
D O I：
10.1016/j.geomphys.2020.103919
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that all geodesics of homogeneous Godel-type metrics are homogeneous. This result makes natural to ask whether these spaces are naturally reductive, and a positive answer is provided for all of them through the study of their homogeneous Lorentzian structures. (c) 2020 Elsevier B.V. All rights reserved.
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页数：11
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