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The Scalar Curvature of a Riemannian Almost Paracomplex Manifold and Its Conformal Transformations

Author

Listed:
  • Vladimir Rovenski

    (Department of Mathematics, University of Haifa, Mount Carmel, Haifa 3498838, Israel)

  • Josef Mikeš

    (Department of Algebra and Geometry, Palacky University, 77146 Olomouc, Czech Republic)

  • Sergey Stepanov

    (Department of Mathematics, Finance University, 49-55, Leningradsky Prospect, 125468 Moscow, Russia)

Abstract

A Riemannian almost paracomplex manifold is a 2 n -dimensional Riemannian manifold ( M , g ) , whose structural group O ( 2 n , R ) is reduced to the form O ( n , R ) × O ( n , R ) . We define the scalar curvature π of this manifold and consider relationships between π and the scalar curvature s of the metric g and its conformal transformations.

Suggested Citation

  • Vladimir Rovenski & Josef Mikeš & Sergey Stepanov, 2021. "The Scalar Curvature of a Riemannian Almost Paracomplex Manifold and Its Conformal Transformations," Mathematics, MDPI, vol. 9(12), pages 1-10, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1379-:d:574765
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