Curvature inequalities for anti-invariant submersion from quaternionic space forms
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912472251760640 |
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| author | Gupta, Kirti Gupta, Punam Gangele, R. K. |
| author_facet | Gupta, Kirti Gupta, Punam Gangele, R. K. |
| contents | This paper focuses on deriving several curvature inequalities involving the Ricci and scalar curvatures of the horizontal and vertical distributions in anti-invariant Riemannian submersions from quaternionic space forms onto Riemannian manifolds. In addition, a Ricci curvature inequality for anti-invariant Riemannian submersions is established. The equality cases for all derived inequalities are also examined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06259 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Curvature inequalities for anti-invariant submersion from quaternionic space forms Gupta, Kirti Gupta, Punam Gangele, R. K. Differential Geometry 53C12, 53C15, 53C26, 53C55 This paper focuses on deriving several curvature inequalities involving the Ricci and scalar curvatures of the horizontal and vertical distributions in anti-invariant Riemannian submersions from quaternionic space forms onto Riemannian manifolds. In addition, a Ricci curvature inequality for anti-invariant Riemannian submersions is established. The equality cases for all derived inequalities are also examined. |
| title | Curvature inequalities for anti-invariant submersion from quaternionic space forms |
| topic | Differential Geometry 53C12, 53C15, 53C26, 53C55 |
| url | https://arxiv.org/abs/2507.06259 |