Every real ellipsoid in ℂ² admits CR umbilical points-Reference-Cited by-同舟云学术

Every real ellipsoid in ℂ² admits CR umbilical points

Published:2006-08-15 Issue:3 Volume:359 Page:1191-1204
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Huang Xiaojun,Ji Shanyu

Abstract

We prove that every real ellipsoid M ⊂ C 2 M\subset \mathbb {C}^2 admits at least four umbilical points, which can be compared to the result of Webster that a generic real ellipsoid in C n \mathbb {C}^n with n ≥ 3 n\ge 3 does not admit any umbilical point.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2007-359-03/S0002-9947-06-04069-4/S0002-9947-06-04069-4.pdf

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