Geometric Characterizations of δ-Almost Yam- abe Solitons with QSNM Connections
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912705246396416 |
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| author | Biswas, Rajdip Biswas, Bijita Bhattacharyya, Arindam |
| author_facet | Biswas, Rajdip Biswas, Bijita Bhattacharyya, Arindam |
| contents | In this paper, we investigate the geometric structure of δ- almost Yamabe solitons on paracontact metric manifolds endowed with a quarter-symmetric non-metric connection {\nabla}. We establish a series of classification results under specific assumptions, including collinearity with the Reeb vector fields, infinitesimal contact transformations, torse- forming, conformal and {X}-Ric vector fields on the potential vector field. Furthermore, we derive conditions under which the soliton is expand- ing, steady, or shrinking based on the relationship among the scalar curvature {r}, the soliton function λ and the structure functions of the manifold. Finally, we present an example that illustrates our results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_04178 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric Characterizations of δ-Almost Yam- abe Solitons with QSNM Connections Biswas, Rajdip Biswas, Bijita Bhattacharyya, Arindam Differential Geometry 53C25, 53C21, 53C44, 53D15 In this paper, we investigate the geometric structure of δ- almost Yamabe solitons on paracontact metric manifolds endowed with a quarter-symmetric non-metric connection {\nabla}. We establish a series of classification results under specific assumptions, including collinearity with the Reeb vector fields, infinitesimal contact transformations, torse- forming, conformal and {X}-Ric vector fields on the potential vector field. Furthermore, we derive conditions under which the soliton is expand- ing, steady, or shrinking based on the relationship among the scalar curvature {r}, the soliton function λ and the structure functions of the manifold. Finally, we present an example that illustrates our results. |
| title | Geometric Characterizations of δ-Almost Yam- abe Solitons with QSNM Connections |
| topic | Differential Geometry 53C25, 53C21, 53C44, 53D15 |
| url | https://arxiv.org/abs/2511.04178 |