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Rigidity of automorphisms and spherical CR structures

Author(s): Jih-Hsin Cheng
Journal: Proc. Amer. Math. Soc. 128 (2000), 1825-1832.
MSC (1991): Primary 32G07; Secondary 32F40, 32C16
Posted: November 29, 1999
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Abstract: We establish Bochner-type formulas for operators related to $CR$ automorphisms and spherical $CR$ structures. From such formulas, we draw conclusions about rigidity by making assumptions on the Tanaka-Webster curvature and torsion.

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Additional Information:

Jih-Hsin Cheng
Affiliation: Institute of Mathematics, Academia Sinica, Taipei, Taiwan
Email: cheng@math.sinica.edu.tw

DOI: 10.1090/S0002-9939-99-05237-5
PII: S 0002-9939(99)05237-5
Keywords: Spherical CR structure, Tanaka-Webster curvature, pseudohermitian manifold
Received by editor(s): August 7, 1998
Posted: November 29, 1999
Additional Notes: Research supported in part by National Science Council grant NSC 87-2115-M-001-006 (R.O.C.).
Communicated by: Steven R. Bell
Copyright of article: Copyright 2000, American Mathematical Society

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