Cohomology of semi-invariant submanifolds of cosymplectic manifolds
In this paper, we study de Rham cohomology class for semi-invariant submanifolds of a cosymplectic manifold. We show that there are de Rham cohomolgy class on semi-invariant submanifold of a cosymplectic manifold. Firstly, we define semi-invariant submanifolds of a cosyplectic manifold. We present a...
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Kyrgyz Turkish Manas University
2021-06-01
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| Series: | MANAS: Journal of Engineering |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/1321306 |
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| author | Ramazan Sarı |
| author_facet | Ramazan Sarı |
| author_sort | Ramazan Sarı |
| collection | DOAJ |
| description | In this paper, we study de Rham cohomology class for semi-invariant submanifolds of a cosymplectic manifold. We show that there are de Rham cohomolgy class on semi-invariant submanifold of a cosymplectic manifold. Firstly, we define semi-invariant submanifolds of a cosyplectic manifold. We present an example for semi-invariant submanifold of a cosymplectic manifold.Later, We obtain characterizations, investigate the geometry of distributions which arise from the definition of semi-invariant submanifold. We obtain that invariant distribtion is always integrable and minimal. Moreover, necessary and sufficient conditions investigate for the anti-invariant distribution to be integrable and minimal. Finally, we prove that semi-invariant submanifold of a cosymplectic manifold has nontrivial de Rham cohomology class. Further, the theoretical methodology of mathematics are used to obtain results. |
| format | Article |
| id | doaj-art-922453203875439b9007be0f70c5794c |
| institution | Kabale University |
| issn | 1694-7398 |
| language | English |
| publishDate | 2021-06-01 |
| publisher | Kyrgyz Turkish Manas University |
| record_format | Article |
| series | MANAS: Journal of Engineering |
| spelling | doaj-art-922453203875439b9007be0f70c5794c2025-02-03T12:07:27ZengKyrgyz Turkish Manas UniversityMANAS: Journal of Engineering1694-73982021-06-019110141437Cohomology of semi-invariant submanifolds of cosymplectic manifoldsRamazan Sarı0https://orcid.org/0000-0002-4618-8243AMASYA ÜNİVERSİTESİIn this paper, we study de Rham cohomology class for semi-invariant submanifolds of a cosymplectic manifold. We show that there are de Rham cohomolgy class on semi-invariant submanifold of a cosymplectic manifold. Firstly, we define semi-invariant submanifolds of a cosyplectic manifold. We present an example for semi-invariant submanifold of a cosymplectic manifold.Later, We obtain characterizations, investigate the geometry of distributions which arise from the definition of semi-invariant submanifold. We obtain that invariant distribtion is always integrable and minimal. Moreover, necessary and sufficient conditions investigate for the anti-invariant distribution to be integrable and minimal. Finally, we prove that semi-invariant submanifold of a cosymplectic manifold has nontrivial de Rham cohomology class. Further, the theoretical methodology of mathematics are used to obtain results.https://dergipark.org.tr/en/download/article-file/1321306cohomology classcosymplectic manifoldsemi-invariant submanifold |
| spellingShingle | Ramazan Sarı Cohomology of semi-invariant submanifolds of cosymplectic manifolds MANAS: Journal of Engineering cohomology class cosymplectic manifold semi-invariant submanifold |
| title | Cohomology of semi-invariant submanifolds of cosymplectic manifolds |
| title_full | Cohomology of semi-invariant submanifolds of cosymplectic manifolds |
| title_fullStr | Cohomology of semi-invariant submanifolds of cosymplectic manifolds |
| title_full_unstemmed | Cohomology of semi-invariant submanifolds of cosymplectic manifolds |
| title_short | Cohomology of semi-invariant submanifolds of cosymplectic manifolds |
| title_sort | cohomology of semi invariant submanifolds of cosymplectic manifolds |
| topic | cohomology class cosymplectic manifold semi-invariant submanifold |
| url | https://dergipark.org.tr/en/download/article-file/1321306 |
| work_keys_str_mv | AT ramazansarı cohomologyofsemiinvariantsubmanifoldsofcosymplecticmanifolds |