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VOL. 22 | 2021 On the Geometry of Submersions
Abdigappar Narmanov, Xurshid Sharipov

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Abstract

Subject of present paper is the geometry of foliation defined by submersions on complete Riemannian manifold. It is proven foliation de- fined by Riemannian submersion on the complete manifold of zero sectional curvature is total geodesic foliation with isometric leaves. Also it is shown level surfaces of metric function are conformally equivalent.

Information

Published: 1 January 2021
First available in Project Euclid: 2 June 2021

Digital Object Identifier: 10.7546/giq-22-2021-199-208

Rights: Copyright © 2021 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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