FIBERINGS ON ALMOST TAU-CONTACT MANIFOLDS

The differentiable manifolds with almost contact structures were studied by many authors, for example: D.E. BLAIR [5), S. SASAKI [6], S.I. GOLDBERG and K. YANO [7], S. ISHIHARA [8], and others. The purpose of this paper is to study strictly regular invariant r-contact manifolds related to an almost r-contact structure. This structure induces a principal bundle whose base manifold bears an almost complex structure. This paper is devoted to study the relations between the integrability conditions of almost r-contract structure and the induced complex structure. The motivation of this paper is to extend some results obtained by K. OGUIE [4].