Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds
We study warped product semi-invariant submanifolds of nearly cosymplectic manifolds. We prove that the warped product of the type 𝑀⟂×𝑓𝑀𝑇 is a usual Riemannian product of 𝑀⟂ and 𝑀𝑇, where 𝑀⟂ and 𝑀𝑇 are anti-invariant and invariant submanifolds of a nearly cosymplectic manifold 𝑀, respectively. Thus...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
|
| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/230374 |
| id |
doaj-11aa08065051471aae8de4f21a67d37c |
|---|---|
| record_format |
Article |
| spelling |
doaj-11aa08065051471aae8de4f21a67d37c2020-11-24T23:45:06ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472011-01-01201110.1155/2011/230374230374Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic ManifoldsSiraj Uddin0S. H. Kon1M. A. Khan2Khushwant Singh3Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, MalaysiaInstitute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, MalaysiaDepartment of Mathematics, University of Tabuk, Tabuk, Saudi ArabiaSchool of Mathematics and Computer Applications, Thapar University, Patiala 147 004, IndiaWe study warped product semi-invariant submanifolds of nearly cosymplectic manifolds. We prove that the warped product of the type 𝑀⟂×𝑓𝑀𝑇 is a usual Riemannian product of 𝑀⟂ and 𝑀𝑇, where 𝑀⟂ and 𝑀𝑇 are anti-invariant and invariant submanifolds of a nearly cosymplectic manifold 𝑀, respectively. Thus we consider the warped product of the type 𝑀𝑇×𝑓𝑀⟂ and obtain a characterization for such type of warped product.http://dx.doi.org/10.1155/2011/230374 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Siraj Uddin S. H. Kon M. A. Khan Khushwant Singh |
| spellingShingle |
Siraj Uddin S. H. Kon M. A. Khan Khushwant Singh Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds Mathematical Problems in Engineering |
| author_facet |
Siraj Uddin S. H. Kon M. A. Khan Khushwant Singh |
| author_sort |
Siraj Uddin |
| title |
Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds |
| title_short |
Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds |
| title_full |
Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds |
| title_fullStr |
Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds |
| title_full_unstemmed |
Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds |
| title_sort |
warped product semi-invariant submanifolds of nearly cosymplectic manifolds |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2011-01-01 |
| description |
We study warped product semi-invariant submanifolds of nearly cosymplectic manifolds. We prove that the warped product of the type 𝑀⟂×𝑓𝑀𝑇 is a usual Riemannian product of 𝑀⟂ and 𝑀𝑇, where 𝑀⟂ and 𝑀𝑇 are anti-invariant and invariant submanifolds of a nearly cosymplectic manifold 𝑀, respectively. Thus we consider the warped product of the type 𝑀𝑇×𝑓𝑀⟂ and obtain a characterization for such type of warped product. |
| url |
http://dx.doi.org/10.1155/2011/230374 |
| work_keys_str_mv |
AT sirajuddin warpedproductsemiinvariantsubmanifoldsofnearlycosymplecticmanifolds AT shkon warpedproductsemiinvariantsubmanifoldsofnearlycosymplecticmanifolds AT makhan warpedproductsemiinvariantsubmanifoldsofnearlycosymplecticmanifolds AT khushwantsingh warpedproductsemiinvariantsubmanifoldsofnearlycosymplecticmanifolds |
| _version_ |
1725497344649068544 |