This paper describes certain hypercomplex manifolds as circle V-bundles over 3-Sasakian orbifolds. Our techniques involve both 3-Sasakian and hypercomplex reduction. In general dimension most of the quotients exist only as hypercomplex orbifolds; however, we construct a large family of compact simply connected smooth 8-manifolds whose second integral homology group is free with arbitrary rank. ...

In the present paper we study lightlike submanifolds of almost paracontact metric manifolds. We define invariant lightlike submanifolds. We study radical transversal lightlike submanifolds of para-Sasakian manifolds and investigate the geometry of distributions. Also we introduce a general notion of paracontact Cauchy-Riemann (CR) lightlike submanifolds and we derive some necessary and sufficie...

In this paper, we characterize N(k)-contact metric manifolds with generalized Tanaka-Webster connection. We obtain some curvature properties. It is proven that if an manifold connection K-contact then it example of Sasakian space form. Also, examine flatness and symmetric conditions concircular tensor on

We investigate the analog of holomorphic vector bundles in the context of Sasakian manifolds.

As a generalization of semi-invariant $\xi ^{\perp }$-Riemannian submersions, we introduce the generic }$- Riemannian submersions. We focus on submersions for Sasakian manifolds with examples and investigate geometry foliations. Also, necessary sufficient conditions base manifold to be local product are obtained new totally geodesicity established. Furthermore, curvature properties distribution...