Mathematics (Jun 2021)

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

  • Vladimir Rovenski,
  • Josef Mikeš,
  • Sergey Stepanov

DOI
https://doi.org/10.3390/math9121379
Journal volume & issue
Vol. 9, no. 12
p. 1379

Abstract

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A Riemannian almost paracomplex manifold is a 2n-dimensional Riemannian manifold (M,g), whose structural group O(2n,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.

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