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Real hypersurfaces with constant principal curvatures in the complex hyperbolic plane
Author(s):
Jürgen
Berndt;
José
Carlos
Díaz-Ramos
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3349-3357.
MSC (2000):
Primary 53C40;
Secondary 53C55
Posted:
June 19, 2007
MathSciNet review:
2322767
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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
DOI:
10.1090/S0002-9939-07-09012-0
PII:
S 0002-9939(07)09012-0
Keywords:
Homogeneous hypersurfaces,
constant principal curvatures
Received by editor(s):
May 16, 2006
Posted:
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 of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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