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Conformally flat quasi contact metric manifolds

  • Fereshteh Malek,
  • Rezvan Hojati

摘要

In this paper quasi contact metric manifolds, which are conformally flat are studied. We prove that a conformally flat quasi contact metric manifold \(M^{2n+1}\) M 2 n + 1 with \(n\ge 3\) n 3 whose characteristic vector field is Killing, has constant curvature \(+1\) + 1 and thus is Sasakian. Also we consider conformally flat quasi contact metric manifolds on which the Ricci operator Q commutes with \(\phi \) ϕ .