HOMOLOGY OF CONTACT CR-WARPED PRODUCT SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE
نویسندگان
چکیده
منابع مشابه
Contact CR-Warped product submanifolds in Kenmotsu space forms
Abstract: In the present paper, we give a necessary and sufficient condition for contact CR-warped product to be contact CR-product in Kenmotsu space forms.
متن کاملApplication of Hopf's lemma on contact CR-warped product submanifolds of a nearly Kenmotsu manifold
In this paper we consider contact CR-warped product submanifolds of the type $M = N_Ttimes_f N_perp$, of a nearly Kenmotsu generalized Sasakian space form $bar M(f_1, f_2, f_3)$ and by use of Hopf's Lemma we show that $M$ is simply contact CR-product under certain condition. Finally, we establish a sharp inequality for squared norm of the second fundamental form and equality case is dis...
متن کاملcontact cr-warped product submanifolds in kenmotsu space forms
abstract: in the present paper, we give a necessary and sufficient condition for contact cr-warped product to be contact cr-product in kenmotsu space forms.
متن کاملContact 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...
متن کاملContact 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...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2015
ISSN: 1015-8634
DOI: 10.4134/bkms.2015.52.1.215