Geodesic Mappings of Spaces with φ(Ric) Vector Fields

被引：1
|
作者：
Vashpanov, Y. [1 ]
Olshevska, O. [2 ]
Lesechko, O. [1 ]
机构：
[1] Odessa State Acad Civil Engn & Architecture, Inst Engn, 4 Didrihson Str, UA-65029 Odessa, Ukraine
[2] Odessa Natl Acad Food Technol, 112 Kanatnaja Str, UA-65039 Odessa, Ukraine
来源：
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES (AMITANS 2020) | 2020年 / 2302卷
关键词：
D O I：
10.1063/5.0033965
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The paper treats a special type of pseudo-Riemannian spaces, namely those which permit phi(Ric)- vector fields. These spaces are widely applied in mechanics and relativity theory. Authors demonstrated a shape taken by a linear form of basic equations of theory of geodesic mappings for the above-mentioned spaces. These equations take a shape of a system of differential equations in covariant derivatives. Let us find integrability conditions for this system. The research is conducted locally in a tensor form, without limitations on a sign and a signature of a metric tensor.
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页数：6
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