Minimal contact CR submanifolds in S2n+1 satisfying the δ(2)-Chen equality
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.
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In this paper, we investigate contact CR submanifolds of contact CR dimension in Sasakian space form and introduce the general structure of these submanifolds and then studying structures of this submanifols with the condition h(FX,Y)+h(X,FY)=g(FX,Y)zeta, for the normal vector field zeta, which is nonzero, and we classify these submanifolds.
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...
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.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2014
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2013.09.003