Holomorphically projective mappings between generalized hyperbolic Kahler spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:447

Article

Petrovic, Milos Z.¹ 

[1] Fac Sci & Math, Dept Math, Visegradska 33, Nish 18000, Serbia

关键词: Generalized Riemannian space;    Generalized hyperbolic Kahler space;    Holomorphically projective mapping;    Equitorsion mapping;    Invariant geometric object;   

DOI  :  10.1016/j.jmaa.2016.10.016

来源: Elsevier

【 摘 要 】

We define generalised hyperbolic Kahler spaces as a particular case of Eisenhart's generalized Riemannian spaces, with some additional conditions related to the almost product structure. Since a generalized hyperbolic Kahler space is equipped with a non-symmetric basic tensor, it admits five linearly independent curvature tensors. Some properties of these curvature tensors as well as those of the corresponding Ricci tensors are established. Also, we consider holomorphically projective mappings, as well as equitorsion holomorphically projective mappings between generalized hyperbolic Kahler spaces and find some invariant geometric objects with respect to these mappings. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free