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

Vladimir Rovenski, Sergey Stepanov and Irina Tsyganok
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Vladimir Rovenski: Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, Israel
Sergey Stepanov: Department of Mathematics, Russian Institute for Scientific and Technical Information of the Russian Academy of Sciences, 20, Usievicha street, 125190 Moscow, Russia
Irina Tsyganok: Department of Data Analysis and Financial Technologies, Finance University, 49-55, Leningradsky Prospect, 125468 Moscow, Russia

Mathematics, 2019, vol. 7, issue 6, 1-8

Abstract: 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.

Keywords: complete Riemannian manifold; twisted and warped products; projective submersion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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