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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Vladimir Rovenski & Sergey Stepanov & Irina Tsyganok, 2019. "The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions," Mathematics, MDPI, vol. 7(6), pages 1-8, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:527-:d:238570
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