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December 2018 Quasi Contact Metric Manifolds with Constant Sectional Curvature
Rezvan HOJATI, Fereshteh MALEK
Tokyo J. Math. 41(2): 515-525 (December 2018). DOI: 10.3836/tjm/1502179276

Abstract

A quasi contact metric manifold is a natural generalization of a contact metric manifold based on the geometry of the corresponding quasi Kahler cones. In this paper we prove that if a quasi contact metric manifold has constant sectional curvature $c$, then $c=1$; additionally, if the characteristic vector field is Killing, then the manifold is Sasakian. These facts are some generalizations of Olszak's theorem to quasi contact metric manifolds.

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Rezvan HOJATI. Fereshteh MALEK. "Quasi Contact Metric Manifolds with Constant Sectional Curvature." Tokyo J. Math. 41 (2) 515 - 525, December 2018. https://doi.org/10.3836/tjm/1502179276

Information

Published: December 2018
First available in Project Euclid: 26 January 2018

zbMATH: 07053489
MathSciNet: MR3908807
Digital Object Identifier: 10.3836/tjm/1502179276

Subjects:
Primary: 53C25
Secondary: 53D10

Rights: Copyright © 2018 Publication Committee for the Tokyo Journal of Mathematics

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Vol.41 • No. 2 • December 2018
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