On the Geometry of Submersions
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Published:2021
Issue:
Volume:
Page:199-208
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ISSN:1314-3247
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Container-title:Geometry, Integrability and Quantization
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language:
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Short-container-title:Geom. Integrability & Quantization
Author:
Narmanov Abdigappar,Sharipov Xurshid
Abstract
Subject of present paper is the geometry of foliation defined by submersions on complete Riemannian manifold. It is proven foliation defined 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.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Subject
Applied Mathematics,Geometry and Topology,Mathematical Physics
Cited by
1 articles.
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