The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
Vladimir Rovenski,
Sergey Stepanov,
Irina Tsyganok
Affiliations
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
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.
