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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 4, Pages 89–98
(Mi ivm7293)
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This article is cited in 1 scientific paper (total 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.
Received: 29.10.2009
Citation:
A. S. Samsonov, “Nearly Kähler and Hermitian $f$-structures on homogeneous $\Phi$-spaces of order 6”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 4, 89–98; Russian Math. (Iz. VUZ), 55:4 (2011), 74–82
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https://www.mathnet.ru/eng/ivm7293 https://www.mathnet.ru/eng/ivm/y2011/i4/p89
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Abstract page: | 319 | Full-text PDF : | 74 | References: | 56 | First page: | 6 |
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