Volume no :18, Issue no: 1-2, November and December 2012

Journal of Mathematical Sciences: Advances and Applications

EXISTENCE OF HOLOMORPHICALLY FILLABLE CONTACT STRUCTURES ON SOME

Author's: HAMIDOU DATHE and CHEIKH KHOULÉ
Pages: [29] - [45]
Received Date: September 22, 2012
Submitted by:

Abstract

The aim of this paper is to show that on some there exist a holomorphically fillable contact structure by relating different works of the authors of the papers [2], [4], and [6].
The main theorem is as follows:

Theorem 1. Let M be a with monodromy matrix If one of the following conditions holds:

(1)

(2) A is not periodic and satisfies

(3)

then there exist a holomorphically fillable contact structure on M.

Keywords

Sasakian contact metric structure, isomorphic Sasakian manifold, complex manifold, Sasakian structure, 3-dimensional compact manifold, holomorphically fillable contact structure.