FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 8, PAGES 43-60

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

V. V. Balashchenko

Abstract

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

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Last modified: June 13, 2008