On the CR-Obata theorem and some extremal problems associated to pseudoscalar curvature on the real ellipsoids in

Authors:
Song-Ying Li and MyAn Tran

Journal:
Trans. Amer. Math. Soc. **363** (2011), 4027-4042

MSC (2010):
Primary 32V05, 32V20; Secondary 53C56

DOI:
https://doi.org/10.1090/S0002-9947-2011-05396-1

Published electronically:
March 22, 2011

MathSciNet review:
2792978

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Abstract: This paper studies the CR-version of Obata theorem on a pseudo-Hermitian CR-manifold . The main result of the paper is proving that CR-Obata theorem holds on real ellipsoid with contact form , where with

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Additional Information

**Song-Ying Li**

Affiliation:
Department of Mathematics, University of California, Irvine, California 92697–3875

Email:
sli@math.uci.edu

**MyAn Tran**

Affiliation:
Department of Mathematics, University of California, Irvine, California 92697–3875

Email:
mtran@math.uci.edu

DOI:
https://doi.org/10.1090/S0002-9947-2011-05396-1

Received by editor(s):
April 1, 2009

Published electronically:
March 22, 2011

Article copyright:
© Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.