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 product submanifolds in generalized Sasakian space form.
D G ] 1 4 D ec 2 00 8 Generalized ( κ , μ )-space forms
Generalized (κ, μ)-space forms are introduced and studied. We deeply study the contact metric case and present examples for all possible dimensions. We also analyze the trans-Sasakian case. 2000 Mathematics Subject Classification: 53C25, 53D15.
On CR-submanifolds of Hermitian manifolds
In this paper we consider a CR-submanifold of a Hermitian manifold and prove various integrability theorems on the submanifold. When the ambient space is Kaehlerian a number of differential geometric results are also obtained.