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2016 Kählerian Structures and $\mathcal{D}$-Homothetic Bi-Warping
Gherici Beldjilali, Mohamed Belkhelfa
J. Geom. Symmetry Phys. 42: 1-13 (2016). DOI: 10.7546/jgsp-42-2016-1-13

Abstract

We introduce the notion of $\mathcal{D}$-homothetic bi-warping and starting from a Sasakian manifold $M$, we construct a family of Kählerian structures on the product $\mathbb{R} \times M.$ After, we investigate conditions on the product of a cosymplectic or Kenmotsu manifold and the real line to be a family of conformal Kähler manifolds. We construct several examples.

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Gherici Beldjilali. Mohamed Belkhelfa. "Kählerian Structures and $\mathcal{D}$-Homothetic Bi-Warping." J. Geom. Symmetry Phys. 42 1 - 13, 2016. https://doi.org/10.7546/jgsp-42-2016-1-13

Information

Published: 2016
First available in Project Euclid: 31 May 2017

zbMATH: 1365.53029
MathSciNet: MR3586441
Digital Object Identifier: 10.7546/jgsp-42-2016-1-13

Rights: Copyright © 2016 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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