A New Type of Generalized Para-Kahler Spaces and Holomorphically Projective Transformations

被引：7
|
作者：
Petrovic, Milos Z. [1 ]
Velimirovic, Ljubica S. [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Dept Math, Visegradska 33, Nish 18000, Serbia
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2019年 / 45卷 / 04期
关键词：
Generalized Riemannian space; Generalized para-Kahler space; Curvature tensor; Infinitesimal holomorphically projective transformation; MANIFOLDS; MAPPINGS;
D O I：
10.1007/s41980-018-0182-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we define a new class of generalized para-Kahler spaces by using two different kinds of covariant derivatives. Some properties of the curvature tensors as well as those of the corresponding Ricci tensors of new generalized para-Kahler spaces are pointed out. Also, we consider some tensor fields that are invariant with respect to holomorphically projective mappings of generalized para-Kahler spaces. Finally, we examine some PDE systems for the existence of infinitesimal holomorphically projective transformations of new types of generalized para-Kahler spaces with parallel torsion.
引用
收藏
页码：1021 / 1043
页数：23
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