Tokyo Journal of Mathematics

Quasi Contact Metric Manifolds with Constant Sectional Curvature

Rezvan HOJATI and Fereshteh MALEK

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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.

Article information

Source
Tokyo J. Math., Volume 41, Number 2 (2018), 515-525.

Dates
First available in Project Euclid: 26 January 2018

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1516935626

Mathematical Reviews number (MathSciNet)
MR3908807

Zentralblatt MATH identifier
07053489

Subjects
Primary: 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
Secondary: 53D10: Contact manifolds, general

Citation

MALEK, Fereshteh; HOJATI, Rezvan. Quasi Contact Metric Manifolds with Constant Sectional Curvature. Tokyo J. Math. 41 (2018), no. 2, 515--525. https://projecteuclid.org/euclid.tjm/1516935626


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