A SUBFOLIATION OF A CR-FOLIATION ON A LOCALLY CONFORMAL ALMOST KAHLER MANIFOLD

Title & Authors
A SUBFOLIATION OF A CR-FOLIATION ON A LOCALLY CONFORMAL ALMOST KAHLER MANIFOLD
Kim, Tae-Wan; Pak, Hong-Kyung;

Abstract
The present paper treats with a subfoliation of a CR-foliation F on an almost Hermitian manifold M. When M is locally conformal almost Kahler, it has three OR-foliations. We show that a CR-foliation F on such manifold M admits a canonical subfoliation D(1/ F) defined by its totally real subbundle. Furthermore, we investigate some cohomology classes for D(1/ F). Finally, we construct a new one from an old locally conformal almost K hler (in particular, an almost generalized Hopf) manifold.
Keywords
locally conformal almost Kahler manifold;almost generalized Hopf manifold;CR-foliation;Godbillon-Vey class;
Language
English
Cited by
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