Contact Hypersurfaces of a Bochner-Kaehler Manifold

Citation data:

Results in Mathematics, ISSN: 1422-6383, Vol: 64, Issue: 1-2, Page: 155-163

Publication Year:
2013
Usage 180
Downloads 139
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Repository URL:
https://digitalcommons.newhaven.edu/mathematics-facpubs/1
DOI:
10.1007/s00025-013-0305-y; 10.1007/s00025-013-0305-y.
Author(s):
Ghosh, Amalendu; Sharma, Ramesh
Publisher(s):
Springer Nature
Tags:
Mathematics; Bochner-Kaehler manifold; Contact metric hypersurface; Constant mean curvature; Conformal vector field; 53B25; 53C55; 53C15
article description
We have studied contact metric hypersurfaces of a Bochner-Kaehler manifold and obtained the following two results: (1) a contact metric constant mean curvature (CMC) hypersurface of a Bochner-Kaehler manifold is a (k, μ)-contact manifold, and (2) if M is a compact contact metric CMC hypersurface of a Bochner-Kaehler manifold with a conformal vector field V that is neither tangential nor normal anywhere, then it is totally umbilical and Sasakian, and under certain conditions on V, is isometric to a unit sphere. © 2013 Springer Basel.