Contact hypersurfaces in Kähler manifolds
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- by Jürgen Berndt and Young Jin Suh PDF
- Proc. Amer. Math. Soc. 143 (2015), 2637-2649 Request permission
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 $Q^n = SO_{n+2}/SO_nSO_2$ and its noncompact dual space $Q^{n*} = SO^o_{n,2}/SO_nSO_2$ for $n \geq 3$.References
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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
- MR Author ID: 265857
- Email: yjsuh@knu.ac.kr
- 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
- © Copyright 2015 American Mathematical Society
- 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
- MathSciNet review: 3326043