Real hypersurfaces in non-flat complex planes, in view of a contact metric condition

  • Th. Theofanidis
  • Published 2017

Abstract

The aim of the present paper is to study real hypersurfaces in non-flat complex planes, for which the curvature satisfies R(X,Y )Z = κ(η(Y )X − η(X)Y )+μ(η(Y )hX − η(X)hY )+ ν(η(Y )hφX − η(X)hφY ). Such manifolds are called (κ, μ, ν)-manifolds, and the relation is called (κ, μ, ν) condition. This condition has been studied for contact metric manifolds. In… (More)

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