Rigidity of automorphisms and spherical CR structures

Cheng, Jih-Hsin

doi:10.1090/S0002-9939-99-05237-5

Rigidity of automorphisms and spherical CR structures
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Proc. Amer. Math. Soc. 128 (2000), 1825-1832 Request permission

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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