$ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive study
This paper delves into quasi bi-slant conformal $ \xi^{\perp} $-submersions from Sasakian manifolds onto Riemannian manifolds, which is a generalization of quasi hemi-slant conformal submersions. Our research involves studying the integrability conditions for distributions, taking into account the g...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231109?viewType=HTML |
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| author | Ibrahim Al-Dayel Mohammad Shuaib Sharief Deshmukh Tanveer Fatima |
| author_facet | Ibrahim Al-Dayel Mohammad Shuaib Sharief Deshmukh Tanveer Fatima |
| author_sort | Ibrahim Al-Dayel |
| collection | DOAJ |
| description | This paper delves into quasi bi-slant conformal $ \xi^{\perp} $-submersions from Sasakian manifolds onto Riemannian manifolds, which is a generalization of quasi hemi-slant conformal submersions. Our research involves studying the integrability conditions for distributions, taking into account the geometry of their leaves. We also provide decomposition theorems for quasi bi-slant conformal $ \xi^{\perp} $-submersions, and showcase non-trivial examples to illustrate our findings. Furthermore, we analyze the $ \varphi $-pluriharmonicity of such submersions. |
| first_indexed | 2024-03-12T21:53:27Z |
| format | Article |
| id | doaj.art-bb929ee361774a24bd76447532e71f58 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-12T21:53:27Z |
| publishDate | 2023-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-bb929ee361774a24bd76447532e71f582023-07-26T01:26:10ZengAIMS PressAIMS Mathematics2473-69882023-07-0189217462176810.3934/math.20231109$ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive studyIbrahim Al-Dayel0Mohammad Shuaib1Sharief Deshmukh 2Tanveer Fatima 31. Deparment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia2. Department of Mathematics, Aligarh Muslim University, Aligarh, India3. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia4. Department of Mathematics and Statistics, College of Sciences, Taibah University, Yanbu, K.S.AThis paper delves into quasi bi-slant conformal $ \xi^{\perp} $-submersions from Sasakian manifolds onto Riemannian manifolds, which is a generalization of quasi hemi-slant conformal submersions. Our research involves studying the integrability conditions for distributions, taking into account the geometry of their leaves. We also provide decomposition theorems for quasi bi-slant conformal $ \xi^{\perp} $-submersions, and showcase non-trivial examples to illustrate our findings. Furthermore, we analyze the $ \varphi $-pluriharmonicity of such submersions.https://www.aimspress.com/article/doi/10.3934/math.20231109?viewType=HTMLsasakian manifoldriemannian submersionsbi-slant submersionsquasi bi-slant submersions |
| spellingShingle | Ibrahim Al-Dayel Mohammad Shuaib Sharief Deshmukh Tanveer Fatima $ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive study AIMS Mathematics sasakian manifold riemannian submersions bi-slant submersions quasi bi-slant submersions |
| title | $ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive study |
| title_full | $ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive study |
| title_fullStr | $ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive study |
| title_full_unstemmed | $ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive study |
| title_short | $ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive study |
| title_sort | phi pluriharmonicity in quasi bi slant conformal xi perp submersions a comprehensive study |
| topic | sasakian manifold riemannian submersions bi-slant submersions quasi bi-slant submersions |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231109?viewType=HTML |
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