Geodesic mapping onto Kahlerian space of the third kind

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:450

Article

Zlatanovic, Milan¹  Stankovic, Vladislava¹ 

[1] Univ Nis, Fac Sci & Math, Nish, Serbia

关键词: Geodesic mapping;    Generalized Kahlerian space;    Equitorsion geodesic mapping;   

DOI  :  10.1016/j.jmaa.2017.01.035

来源: Elsevier

【 摘 要 】

In the present paper we study geodesic mappings between generalized Riemannian GRN and generalized Kallerian spaces of the third type G(3)KN, and specially the case when these spaces have the same torsions at corresponding points. Using the non-symmetric metric tensor we find necessary and sufficient conditions for the existence of geodesic mapping f : GR(N) -> G(3)(K) over barN with respect to the four kinds of covariant derivatives. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free