Special Almost Geodesic Mappings of the Second Type Between Generalized Riemannian Spaces

被引：11
|
作者：
Petrovic, Milos Z. [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Dept Math, Nish, Serbia
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 02期
关键词：
Generalized Riemannian space; Special almost geodesic mapping of the second type; Curvature tensor; Invariant geometric object; HOLOMORPHICALLY PROJECTIVE MAPPINGS; EQUITORSION;
D O I：
10.1007/s40840-017-0509-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We deal with almost geodesic lines of manifolds with non-symmetric linear connection. Also, we consider special almost geodesic mappings of the second type between Eisenhart's generalized Riemannian spaces as well as between generalized classical (elliptic) and hyperbolic Kahler spaces. These mappings are generalizations of holomorphically projective mappings between generalized classical and hyperbolic Kahler spaces. We prove some existence theorems for special almost geodesic mappings of the second type between generalized Riemannian spaces as well as between generalized classical and hyperbolic Kahler spaces. Finally, we find some invariant geometric objects with respect to these mappings.
引用
收藏
页码：707 / 727
页数：21
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