Open Access
VOL. 18 | 2017 Complex and Real Hypersurfaces of Locally Conformal Kähler Manifolds
Chapter Author(s) Yevhen Cherevko, Olena Chepurna
Editor(s) Ivaïlo M. Mladenov, Guowu Meng, Akira Yoshioka
Geom. Integrability & Quantization, 2017: 117-129 (2017) DOI: 10.7546/giq-18-2017-117-129

Abstract

We studied complex and real hypersurfaces immersed in locally conformal Kähler manifolds. We have obtained conditions for the immersions, if the manifolds admit existence of such complex hypersurfaces that are orthogonal to both Lee and anti-Lee vector fields. Also we explore real hypersurfaces immersed in LCK-manifolds.

Information

Published: 1 January 2017
First available in Project Euclid: 14 January 2017

zbMATH: 1378.53067
MathSciNet: MR3616916

Digital Object Identifier: 10.7546/giq-18-2017-117-129

Rights: Copyright © 2017 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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