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

Vladimir Rovenski, Josef Mikeš and Sergey Stepanov
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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

Mathematics, 2021, vol. 9, issue 12, 1-10

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 ? of this manifold and consider relationships between ? and the scalar curvature s of the metric g and its conformal transformations.

Keywords: almost paracomplex manifold; conformal transformation; scalar curvature (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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