A. S. Samsonov, “Nearly Kähler and Hermitian $f$-structures on homogeneous $\Phi$-spaces of order 6”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 4,Pages 89

This article is cited in 1 paper

Nearly Kähler and Hermitian $f$-structures on homogeneous $\Phi$-spaces of order 6

A. S. Samsonov

Chair of Geometry, Topology and Mathematics Teaching Pronciples, Belarussian State University, Minsk, Belarus

Abstract: In this paper we consider the canonical $f$-structures on arbitrary naturally reductive homogeneous $\Phi$-spaces of order 6. We obtain the necessary and sufficient conditions under which these structures belong to classes of a generalized Hermitian geometry such as nearly Kähler and Hermitian $f$-structures.

Keywords: naturally reductive space, invariant $f$-structure, generalized Hermitian geometry, homogeneous periodic $\Phi$-space, generalized symmetric space, canonical $f$-structure.

UDC: 514.765

Received: 29.10.2009