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http://dx.doi.org/10.4134/JKMS.2004.41.5.865

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

Kim, Tae-Wan (Department of Mathematics Silla University)
Pak, Hong-Kyung (Faculty of Information and Science Daegu Haany University)
Publication Information
Journal of the Korean Mathematical Society / v.41, no.5, 2004 , pp. 865-874 More about this Journal
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;
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