The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions

The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions

In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted product of some two Riemannian manifolds.

Bibliographic Details
Main Authors: Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Mathematics
Subjects:
complete Riemannian manifold
twisted and warped products
projective submersion
Online Access:https://www.mdpi.com/2227-7390/7/6/527
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spelling doaj-abc53c34afc6478c8826533fa42553c82020-11-25T02:14:49ZengMDPI AGMathematics2227-73902019-06-017652710.3390/math7060527math7060527The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective SubmersionsVladimir Rovenski0Sergey Stepanov1Irina Tsyganok2Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, IsraelDepartment of Mathematics, Russian Institute for Scientific and Technical Information of the Russian Academy of Sciences, 20, Usievicha street, 125190 Moscow, RussiaDepartment of Data Analysis and Financial Technologies, Finance University, 49-55, Leningradsky Prospect, 125468 Moscow, RussiaIn the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted product of some two Riemannian manifolds.https://www.mdpi.com/2227-7390/7/6/527complete Riemannian manifoldtwisted and warped productsprojective submersion
collection DOAJ
language English
format Article
sources DOAJ
author Vladimir Rovenski
Sergey Stepanov
Irina Tsyganok
spellingShingle Vladimir Rovenski
Sergey Stepanov
Irina Tsyganok
The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
Mathematics
complete Riemannian manifold
twisted and warped products
projective submersion
author_facet Vladimir Rovenski
Sergey Stepanov
Irina Tsyganok
author_sort Vladimir Rovenski
title The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
title_short The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
title_full The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
title_fullStr The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
title_full_unstemmed The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
title_sort mixed scalar curvature of a twisted product riemannian manifolds and projective submersions
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-06-01
description In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted product of some two Riemannian manifolds.
topic complete Riemannian manifold
twisted and warped products
projective submersion
url https://www.mdpi.com/2227-7390/7/6/527
work_keys_str_mv AT vladimirrovenski themixedscalarcurvatureofatwistedproductriemannianmanifoldsandprojectivesubmersions
AT sergeystepanov themixedscalarcurvatureofatwistedproductriemannianmanifoldsandprojectivesubmersions
AT irinatsyganok themixedscalarcurvatureofatwistedproductriemannianmanifoldsandprojectivesubmersions
AT vladimirrovenski mixedscalarcurvatureofatwistedproductriemannianmanifoldsandprojectivesubmersions
AT sergeystepanov mixedscalarcurvatureofatwistedproductriemannianmanifoldsandprojectivesubmersions
AT irinatsyganok mixedscalarcurvatureofatwistedproductriemannianmanifoldsandprojectivesubmersions
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