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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 966–974
(Mi semr541)
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This article is cited in 1 scientific paper (total in 1 paper)
Geometry and topology
On generalized 7-dimensional Seifert fibrations over complex projective plane
N. E. Russkikhab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Abstract:
We discuss topological properties of certain $7$-dimensional generalized Seifert fibrations, and, in particular, of the Eschenburg spaces with positive sectional curvature. We compute the values of the first fractional Chern class $\kappa$ of the corresponding $S^3/\mathbb{Z}_q$ bundles over $\mathbb{C} P^1$.
Keywords:
homogenous spaces, sectional curvature, Seifert fibrations.
Received November 18, 2014, published December 12, 2014
Citation:
N. E. Russkikh, “On generalized 7-dimensional Seifert fibrations over complex projective plane”, Sib. Èlektron. Mat. Izv., 11 (2014), 966–974
Linking options:
https://www.mathnet.ru/eng/semr541 https://www.mathnet.ru/eng/semr/v11/p966
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Abstract page: | 168 | Full-text PDF : | 41 | References: | 24 |
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