A note on doubly warped product contact C R-submanifolds in trans-Sasakian manifolds

A Note on Doubly Warped Product Contact CR-Submanifolds in trans-Sasakian Manifolds

Warped product CR-submanifolds in Kählerian manifolds were intensively studied only since 2001 after the impulse given by B.Y. Chen in [2], [3]. Immediately after, another line of research, similar to that concerning Sasakian geometry as the odd dimensional version of Kählerian geometry, was developed, namely warped product contact CR-submanifolds in Sasakian manifolds (cf. [6], [7]). In this n...

Warped Product Submanifolds of LP-Sasakian Manifolds

Contact CR-warped product submanifolds in generalized Sasakian Space Forms

In [4] B. Y. Chen studied warped product CR-submanifolds in Kaehler manifolds. Afterward, I. Hasegawa and I. Mihai [5] obtained a sharp inequality for the squared norm of the second fundamental form for contact CR-warped products in Sasakian space form. Recently Alegre, Blair and Carriago [1] introduced generalized Sasakian space form. The aim of present paper is to study contact CR-warped prod...

Doubly Warped Product CR-Submanifolds in Locally Conformal Kähler Manifolds

Mathematics Subject Classification (2000): 53C25, 53C40, 53C42.

Contact Cr-doubly Warped Product Submanifolds in Kenmotsu Space Forms

Recently, the author established general inequalities for CR-doubly warped products isometrically immersed in Sasakian space forms. In the present paper, we obtain sharp estimates for the squared norm of the second fundamental form (an extrinsic invariant) in terms of the warping functions (intrinsic invariants) for contact CR-doubly warped products isometrically immersed in Kenmotsu space form...