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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 197, Pages 101–107
DOI: https://doi.org/10.36535/0233-6723-2021-197-101-107 (Mi into866) 		 
Properties of Riemannian submersions on manifolds of nonnegative curvature

A. N. Zoyidov

National University of Uzbekistan named after Mirzo Ulugbek
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DOI: https://doi.org/10.36535/0233-6723-2021-197-101-107
Abstract: In this paper, submersions on manifolds of nonnegative curvature are constructed and properties of these submersions are examined. We prove that if a Riemannian submersion is defined over a flat manifold, then the manifold is isometric to the Euclidean space.
Keywords: submersion, manifold, curvature.
Document Type: Article
UDC: 514.76
MSC: 57R45, 32Q10
Language: Russian
Citation: A. N. Zoyidov, “Properties of Riemannian submersions on manifolds of nonnegative curvature”, Geometry and topology, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 197, VINITI, Moscow, 2021, 101–107
Citation in format AMSBIB
\Bibitem{Zoy21}
\by A.~N.~Zoyidov
\paper Properties of Riemannian submersions on manifolds of nonnegative curvature
\inbook Geometry and topology
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 197
\pages 101--107
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into866}
\crossref{https://doi.org/10.36535/0233-6723-2021-197-101-107}
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