Proceedings of the International Conference on Geometry, Integrability and Quantization

Complex and Real Hypersurfaces of Locally Conformal Kähler Manifolds

Yevhen Cherevko and Olena Chepurna

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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.

Article information

Source
Proceedings of the Eighteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Guowu Meng and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2017), 117-129

Dates
First available in Project Euclid: 14 January 2017

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1484362819

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

Mathematical Reviews number (MathSciNet)
MR3616916

Zentralblatt MATH identifier
1378.53067

Citation

Cherevko, Yevhen; Chepurna, Olena. Complex and Real Hypersurfaces of Locally Conformal Kähler Manifolds. Proceedings of the Eighteenth International Conference on Geometry, Integrability and Quantization, 117--129, Avangard Prima, Sofia, Bulgaria, 2017. doi:10.7546/giq-18-2017-117-129. https://projecteuclid.org/euclid.pgiq/1484362819


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