On Compact Trans-Sasakian Manifolds
We study 3-dimensional compact and simply connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds. The first two results deal with finding necessary and sufficient conditions on a compact and simply connected tr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/9239897 |
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| _version_ | 1832545935386738688 |
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| author | Ibrahim Al-Dayel Sharief Deshmukh |
| author_facet | Ibrahim Al-Dayel Sharief Deshmukh |
| author_sort | Ibrahim Al-Dayel |
| collection | DOAJ |
| description | We study 3-dimensional compact and simply connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds. The first two results deal with finding necessary and sufficient conditions on a compact and simply connected trans-Sasakian manifold to be homothetic to an Einstein Sasakian manifold and in the third result deals with finding necessary and sufficient condition on a compact and simply connected trans-Sasakian manifold to be homothetic to a Sasakian manifold. |
| format | Article |
| id | doaj-art-91d497c621b547c7887a0ad19db17e6b |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-91d497c621b547c7887a0ad19db17e6b2025-02-03T07:24:18ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/9239897On Compact Trans-Sasakian ManifoldsIbrahim Al-Dayel0Sharief Deshmukh1Department of Mathematics and StatisticsDepartment of MathematicsWe study 3-dimensional compact and simply connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds. The first two results deal with finding necessary and sufficient conditions on a compact and simply connected trans-Sasakian manifold to be homothetic to an Einstein Sasakian manifold and in the third result deals with finding necessary and sufficient condition on a compact and simply connected trans-Sasakian manifold to be homothetic to a Sasakian manifold.http://dx.doi.org/10.1155/2022/9239897 |
| spellingShingle | Ibrahim Al-Dayel Sharief Deshmukh On Compact Trans-Sasakian Manifolds Advances in Mathematical Physics |
| title | On Compact Trans-Sasakian Manifolds |
| title_full | On Compact Trans-Sasakian Manifolds |
| title_fullStr | On Compact Trans-Sasakian Manifolds |
| title_full_unstemmed | On Compact Trans-Sasakian Manifolds |
| title_short | On Compact Trans-Sasakian Manifolds |
| title_sort | on compact trans sasakian manifolds |
| url | http://dx.doi.org/10.1155/2022/9239897 |
| work_keys_str_mv | AT ibrahimaldayel oncompacttranssasakianmanifolds AT shariefdeshmukh oncompacttranssasakianmanifolds |