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Periodica Mathematica Hungarica

, Volume 77, Issue 1, pp 69–76 | Cite as

On structure-preserving connections

  • Arif Salimov
Article

Abstract

In this paper we find the formula of connections under which an almost complex structure is covariantly constant. These types of connections on anti-Kähler–Codazzi manifolds are described. Also, twin metric-preserving connections are analyzed for quasi-Kähler manifolds. Finally, anti-Hermitian Chern connections are investigated.

Keywords

Almost complex structure Semi-Riemannian metric Anti-Hermitian structure Anti-Kähler–Codazzi manifold Anti-Kähler manifold Quasi-Kähler manifold Chern connection 

Mathematics Subject Classification

53C15 53C05 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Department of Algebra and GeometryBaku State UniversityBakuAzerbaijan

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