Submanifolds Of Sasakian Manifolds Research Articles

A note on quasi-bi-slant submanifolds of Sasakian manifolds

The object of the present paper is to study the notion of quasi-bi-slant submanifolds of almost contact metric manifolds as a generalization of slant, semi-slant, hemi-slant, bi-slant, and quasi-hemi-slant submanifolds. We study and characterize quasi-bi-slant submanifolds of Sasakian manifolds and provide non-trivial examples to signify that the structure presented in this paper is valid. Furthermore, the integrability of distributions and geometry of foliations are researched. Moreover, we characterize quasi-bi-slant submanifolds with parallel canonical structures.

Submanifolds of Sasakian Manifolds with Concurrent Vector Field

ThesubmanifoldsofSasakianmanifoldswithaconcurrentvectorfieldhavebeen studied. Applications of such submanifolds to Ricci solitons and Yamabe solitons has also been showed.

Quasi hemi-slant submanifolds of Sasakian manifolds

Quasi hemi-slant submanifolds of Sasakian manifolds

On pseudo-slant submanifolds of a Sasakian space form

In this paper, we study the geometry of the pseudo-slant submanifolds of a Sasakian space form. Necessary and sufficient conditions are given for a submanifold to be pseudo-slant submanifolds, pseudo-slant product, mixed geodesic and totally geodesic in Sasakian manifolds. Finally, we give some results for totally umbilical pseudo-slant submanifolds of Sasakian manifolds and Sasakian space forms.

Homotopy connectedness theorems for submanifolds of Sasakian manifolds

The homotopy connectedness theorem for invariant immersions in Sasakian manifolds with nonnegative transversal q-bisectional curvature is proved. Some Barth-Lefschetz type theorems for minimal submanifolds and (k, ɛ)-saddle submanifolds in Sasakian manifolds with positive transversal q-Ricci curvature are proved by using the weak (ɛ-)asymptotic index. As a corollary, the Frankel type theorem is proved.

Submanifolds of Sasakian Manifolds with Certain Parallel Operators

We study submanifolds of Sasakian manifolds and obtain a condition under which certain naturally defined symmetric tensor field on the submanifold is to be parallel and use this result to obtain conditions under which a submanifold of the Sasakian manifold is an invariant submanifold.

On submanifolds of Sasakian manifolds

The object of the present paper is to introduce a new type of invariant submanifolds, namely, mixed-invariant submanifolds of Sasakian manifolds and to show that everymixed-invariant submanifold of a Sasakian manifold is totally geodesic. 2-quasi-umbilical hypersurface of a Sasakian space form is also studied.