Model rigid CR submanifolds of CR dimension 1

Al Boggess, Laura Ann Glenn and Alexander Nagel

Vol. 184 (1998), No. 1, 43–74

DOI: 10.2140/pjm.1998.184.43

Abstract

The following three classes of models of rigid submanifolds of higher type with CR dimension one are discussed: 1) A tube-like model that only depends on the real part of the holomorphic tangent coordinate; 2) a radial model that depends on the modulus of the holomorphic tangent coordinate and 3) a free model. The first and third models have a Lie group structure which is analyzed. A characterization of the hull of holomorphy of the first two models is presented along with a partial result on the hull of holomorphy of the third.

Milestones

Received: 8 May 1996

Published: 1 May 1998