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Local Cauchy-Riemann embeddability of real hyperboloids into spheres
Author(s):
Jong-Won
Oh
Journal:
Proc. Amer. Math. Soc.
135
(2007),
397-403.
MSC (2000):
Primary 32V30;
Secondary 32V20
Posted:
August 2, 2006
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Abstract:
In this paper, we study the local Cauchy-Riemann embeddability of strictly pseudoconvex real hyperboloids  into spheres. By solving a CR analogue of the Gauss equation, we prove that  is CR-embeddable into spheres with a CR co-dimension   if and only if it is spherical.
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Additional Information:
Jong-Won
Oh
Affiliation:
Department of Mathematics, Yonsei University, Seoul 120-749, Korea
Address at time of publication:
Department of Mathematics, Seoul National University, San 56-1, Sillim-dong, Gwanak-gu, Seoul 151-742, Korea
Email:
jwoh@math.snu.ac.kr
DOI:
10.1090/S0002-9939-06-08741-7
PII:
S 0002-9939(06)08741-7
Keywords:
CR embeddability,
real hyperboloid,
sphere,
the Gauss equation.
Received by editor(s):
August 25, 2005
Posted:
August 2, 2006
Additional Notes:
The author was supported by BK21-Yonsei University.
Communicated by:
Mei-Chi Shaw
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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