Warped Product Submanifolds of Riemannian Product Manifolds

We study warped product of the type Nθ×fNT and Nθ×fN⊥, where Nθ, NT, and N⊥ are proper slant, invariant, and anti-invariant submanifolds, respectively, and we prove some basic results and finally obtain some inequalities for squared norm of second fundamental form.

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Bibliographic Details
Main Authors: Falleh R. Al-Solamy, Meraj Ali Khan
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/724898
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Summary:We study warped product of the type Nθ×fNT and Nθ×fN⊥, where Nθ, NT, and N⊥ are proper slant, invariant, and anti-invariant submanifolds, respectively, and we prove some basic results and finally obtain some inequalities for squared norm of second fundamental form.
ISSN:1085-3375
1687-0409