A generalization of the Greene–Krantz theorem for the semicontinuity property of automorphism groups

Jae-Cheon Joo

Vol. 285 (2016), No. 1, 225–241

DOI: 10.2140/pjm.2016.285.225

Abstract

We give a CR version of the Greene–Krantz theorem (Math. Ann. 261:4 (1982), 425–446) for the semicontinuity of complex automorphism groups. This is not only a generalization but also an intrinsic interpretation of the Greene–Krantz theorem.

Keywords

semicontinuity property, CR structures, CR Yamabe equation, automorphism groups

Mathematical Subject Classification 2010

Primary: 32M05, 32V05, 53C56

Milestones

Received: 25 February 2015

Revised: 15 January 2016

Accepted: 23 May 2016

Published: 27 September 2016