Real hypersurfaces with constant principal curvatures in the complex hyperbolic plane
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- by Jürgen Berndt and José Carlos Díaz-Ramos PDF
- Proc. Amer. Math. Soc. 135 (2007), 3349-3357 Request permission
Abstract:
We classify real hypersurfaces with constant principal curvatures in the complex hyperbolic plane. It follows from this classification that all of them are open parts of homogeneous ones.References
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Additional Information
- Jürgen Berndt
- Affiliation: Department of Mathematics, University College, Cork, Ireland
- Email: j.berndt@ucc.ie
- José Carlos Díaz-Ramos
- Affiliation: Department of Mathematics, University College, Cork, Ireland
- Email: jc.diazramos@ucc.ie
- Received by editor(s): May 16, 2006
- Published electronically: June 19, 2007
- Additional Notes: The second author has been supported by projects BFM 2003-02949 and PGIDIT 04 PXIC 20701 PN (Spain)
- Communicated by: Jon G. Wolfson
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 3349-3357
- MSC (2000): Primary 53C40; Secondary 53C55
- DOI: https://doi.org/10.1090/S0002-9939-07-09012-0
- MathSciNet review: 2322767