On Characterizing a Three-Dimensional Sphere
In this paper, we find a characterization of the 3-sphere using 3-dimensional compact and simply connected trans-Sasakian manifolds of type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</m...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/24/3311 |
| _version_ | 1797502562048409600 |
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| author | Nasser Bin Turki Sharief Deshmukh Gabriel-Eduard Vîlcu |
| author_facet | Nasser Bin Turki Sharief Deshmukh Gabriel-Eduard Vîlcu |
| author_sort | Nasser Bin Turki |
| collection | DOAJ |
| description | In this paper, we find a characterization of the 3-sphere using 3-dimensional compact and simply connected trans-Sasakian manifolds of type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>α</mi><mo>,</mo><mo> </mo><mi>β</mi><mo>)</mo></mrow></semantics></math></inline-formula>. |
| first_indexed | 2024-03-10T03:36:51Z |
| format | Article |
| id | doaj.art-1c36f732cbbe433ab5511e602980467d |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:36:51Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-1c36f732cbbe433ab5511e602980467d2023-11-23T09:27:19ZengMDPI AGMathematics2227-73902021-12-01924331110.3390/math9243311On Characterizing a Three-Dimensional SphereNasser Bin Turki0Sharief Deshmukh1Gabriel-Eduard Vîlcu2Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaDepartment of Cybernetics, Economic Informatics, Finance and Accountancy, Petroleum-Gas University of Ploieşti, Bd. Bucureşti 39, 100680 Ploieşti, RomaniaIn this paper, we find a characterization of the 3-sphere using 3-dimensional compact and simply connected trans-Sasakian manifolds of type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>α</mi><mo>,</mo><mo> </mo><mi>β</mi><mo>)</mo></mrow></semantics></math></inline-formula>.https://www.mdpi.com/2227-7390/9/24/3311trans-Sasakian manifoldscalar curvaturesphereFischer–Marsden differential equation |
| spellingShingle | Nasser Bin Turki Sharief Deshmukh Gabriel-Eduard Vîlcu On Characterizing a Three-Dimensional Sphere Mathematics trans-Sasakian manifold scalar curvature sphere Fischer–Marsden differential equation |
| title | On Characterizing a Three-Dimensional Sphere |
| title_full | On Characterizing a Three-Dimensional Sphere |
| title_fullStr | On Characterizing a Three-Dimensional Sphere |
| title_full_unstemmed | On Characterizing a Three-Dimensional Sphere |
| title_short | On Characterizing a Three-Dimensional Sphere |
| title_sort | on characterizing a three dimensional sphere |
| topic | trans-Sasakian manifold scalar curvature sphere Fischer–Marsden differential equation |
| url | https://www.mdpi.com/2227-7390/9/24/3311 |
| work_keys_str_mv | AT nasserbinturki oncharacterizingathreedimensionalsphere AT shariefdeshmukh oncharacterizingathreedimensionalsphere AT gabrieleduardvilcu oncharacterizingathreedimensionalsphere |