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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/724898 |
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| _version_ | 1832558486785884160 |
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| author | Falleh R. Al-Solamy Meraj Ali Khan |
| author_facet | Falleh R. Al-Solamy Meraj Ali Khan |
| author_sort | Falleh R. Al-Solamy |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e3ffa53a5e5e423c906f247a63b36c44 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e3ffa53a5e5e423c906f247a63b36c442025-02-03T01:32:14ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/724898724898Warped Product Submanifolds of Riemannian Product ManifoldsFalleh R. Al-Solamy0Meraj Ali Khan1Department of Mathematics, King Abdulaziz University, P.O. Box 80015, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Tabuk, Tabuk, Saudi ArabiaWe 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.http://dx.doi.org/10.1155/2012/724898 |
| spellingShingle | Falleh R. Al-Solamy Meraj Ali Khan Warped Product Submanifolds of Riemannian Product Manifolds Abstract and Applied Analysis |
| title | Warped Product Submanifolds of Riemannian Product Manifolds |
| title_full | Warped Product Submanifolds of Riemannian Product Manifolds |
| title_fullStr | Warped Product Submanifolds of Riemannian Product Manifolds |
| title_full_unstemmed | Warped Product Submanifolds of Riemannian Product Manifolds |
| title_short | Warped Product Submanifolds of Riemannian Product Manifolds |
| title_sort | warped product submanifolds of riemannian product manifolds |
| url | http://dx.doi.org/10.1155/2012/724898 |
| work_keys_str_mv | AT fallehralsolamy warpedproductsubmanifoldsofriemannianproductmanifolds AT merajalikhan warpedproductsubmanifoldsofriemannianproductmanifolds |