Complex Submanifolds of LCK-manifold, Pseudo-Vaisman and Vaisman Manifolds
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Slovak University of Technology in Bratislava
Abstract
Study the immersions of submanifolds in LCK-manifolds that a tangent space in all points of the submanifolds to be normal to Lee field and we find conditions under which LCK-manifold admits the immersion of complex submanifolds. Also we explore properties of Lee form of Vaisman and pseudo-Vaisman manifold.
Description
Keywords
complex manifold, LCK-manifold, submanifold, almost complex structure, Lee form
Citation
Cherevko Ye., Berezovski V., Chepurna O. Complex Submanifolds of LCK-manifold, Pseudo-Vaisman and Vaisman Manifolds. Proceedings, 16th Conference on Applied Mathematic Aplimat 2017. Bratislava: Slovak University of Technology, 2017. pp. 343-351