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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 2, Pages 77–95 (Mi ivm9332)  
This article is cited in 5 scientific papers (total in 5 papers)

Geometry and topology of some fibered Riemannian manifolds

E. I. Yakovlev, T. A. Gonchar

Nizhny Novgorod State University, 23 Gagarin Ave., Nizhny Novgorod, 603950 Russia
Full-text PDF (302 kB) Citations (5)
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Abstract: We investigate a principal $G$-bundle with $G$-invariant Riemannian metric on its total space. We derive formulas describing the Levi–Civita connection and curvatures in two-dimensional directions. We obtain estimates of the influence of properties of sectional curvatures to topological invariants of the bundle.
Keywords: principal bundle, $G$-connection, Riemannian manifold, Levi–Civita connection, sectional curvature.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00312_а
Ministry of Education and Science of the Russian Federation 1.1410.2014/K
Received: 21.10.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 2, Pages 69–85
DOI: https://doi.org/10.3103/S1066369X18020081
Bibliographic databases:
Document Type: Article
UDC: 514.762:515.165
Language: Russian
Citation: E. I. Yakovlev, T. A. Gonchar, “Geometry and topology of some fibered Riemannian manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 2, 77–95; Russian Math. (Iz. VUZ), 62:2 (2018), 69–85
Citation in format AMSBIB
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\by E.~I.~Yakovlev, T.~A.~Gonchar
\paper Geometry and topology of some fibered Riemannian manifolds
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 2
\pages 77--95
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 2
\pages 69--85
\crossref{https://doi.org/10.3103/S1066369X18020081}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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