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Journal of Mathematical Sciences

, Volume 159, Issue 6, pp 777–789 | Cite as

Generalized symmetric spaces, Yu. P. Solovyov’s formula, and the generalized Hermitian geometry

  • V. V. Balashchenko
Article

Abstract

We collect some basic results on canonical affinor structures of classical type on generalized symmetric spaces. Yu. P. Solovyov’s stimulating influence on this topic during its initial stages is illustrated. Using special canonical f-structures on homogeneous k-symmetric spaces, we also present a new collection of homogeneous Hermitian f-manifolds.

Keywords

Riemannian Manifold Homogeneous Space Hermitian Structure Hermitian Manifold Canonical Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Faculty of Mathematics and MechanicsBelarusian State UniversityMinskBelarus

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