Contact hypersurfaces in Kähler manifolds
Authors:
Jürgen Berndt and Young Jin Suh
Journal:
Proc. Amer. Math. Soc. 143 (2015), 2637-2649
MSC (2010):
Primary 53D10; Secondary 53C40, 53C55
DOI:
https://doi.org/10.1090/S0002-9939-2015-12421-5
Published electronically:
February 16, 2015
MathSciNet review:
3326043
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Abstract | References | Similar Articles | Additional Information
Abstract: A contact hypersurface in a Kähler manifold is a real hypersurface for which the induced almost contact metric structure determines a contact structure. We carry out a systematic study of contact hypersurfaces in Kähler manifolds. We then apply these general results to obtain classifications of contact hypersurfaces with constant mean curvature in the complex quadric 
and its noncompact dual space 
for 
.
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Additional Information
Jürgen Berndt
Affiliation:
Department of Mathematics, King’s College London, London WC2R 2LS, United Kingdom
Email:
jurgen.berndt@kcl.ac.uk
Young Jin Suh
Affiliation:
Department of Mathematics, Kyungpook National University, Taegu 702-701, South Korea
Email:
yjsuh@knu.ac.kr
DOI:
https://doi.org/10.1090/S0002-9939-2015-12421-5
Keywords:
Contact hypersurfaces,
constant mean curvature,
normal Jacobi operator,
complex quadric,
noncompact dual of complex quadric
Received by editor(s):
October 12, 2013
Received by editor(s) in revised form:
November 23, 2013
Published electronically:
February 16, 2015
Additional Notes:
This work was supported by grant Proj. No. NRF-2011-220-1-C00002 from the National Research Foundation of Korea
The second author was supported by grant Proj. NRF-2012-R1A2A2A-01043023.
Communicated by:
Lei Ni
Article copyright:
© Copyright 2015
American Mathematical Society