| |
|
|
| |
Volume 10, Issue 4, Article 119 |
|
|
|
|
|
| |
Contact CR-doubly Warped Product Submanifolds in Kenmotsu Space Forms
|
| |
|
Authors: |
Andreea Olteanu, |
|
| |
|
Keywords:
|
Doubly warped product, contact CR-doubly warped product, invariant submanifold, anti-invariant submanifold, Laplacian, mean curvature, Kenmotsu space form. |
|
| |
|
Date Received:
|
26/02/2009 |
|
| |
|
Date Accepted:
|
06/11/2009 |
|
| |
|
Subject Codes: |
Primary 53C40; Secondary 53C25.
|
|
| |
|
Editors: |
Sever S. Dragomir, |
|
| |
|
|
|
|
|
| |
|
Abstract: |
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 forms. The equality case is considered. Some applications are derived.
|
|
|
|
|
|
| |
|
|
|
|
| |
|
|
|
|
|
Home
