Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields

被引：5
|
作者：
Shandra, Igor G. [1 ]
Mikes, Josef [2 ]
机构：
[1] Financial Univ Govt Russian Federat, Dept Data Anal Decis Making & Financial Technol, Leningradsky Prospect 49-55, Moscow 125468, Russia
[2] Palacky Univ, Dept Algebra & Geometry, 17 Listopadu 12, Olomouc 77146, Czech Republic
来源：
MATHEMATICS | 2019年 / 7卷 / 08期
关键词：
pseudo-Riemannian manifold; Jordan algebra; concircular vector field; geodesic mapping; INVARIANTS; MOBILITY;
D O I：
10.3390/math7080692
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we study geodesic mappings of special pseudo-Riemannian manifolds called Vn(K)-spaces. We prove that the set of solutions of the system of equations of geodesic mappings on Vn(K)-spaces forms a special Jordan algebra and the set of solutions generated by concircular fields is an ideal of this algebra. We show that pseudo-Riemannian manifolds admitting a concircular field of the basic type form the class of manifolds closed with respect to the geodesic mappings.
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页数：11
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