Clairaut anti-invariant Riemannian maps with Kähler and Ricci soliton structures
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909229803110400 |
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| author | Yadav, Jyoti Shanker, Gauree |
| author_facet | Yadav, Jyoti Shanker, Gauree |
| contents | The aim of this article is to explore the Clairaut anti-invariant Riemannian maps from/to Kähler manifolds admitting Ricci solitons. We find the curvature relations and calculate the Ricci tensor under different conditions. We discuss the condition under which range space becomes $α$-Ricci soliton. We obtain conditions for the range and kernel spaces of these maps to be Einstein. Next, we find the scalar curvature for range space. Further, we give the relation between Ricci curvature and Lie derivative under these maps. Moreover, we find the condition for a vertical potential vector field on target manifold to be conformal vector field on range space of these maps. Finally, we give non-trivial examples of such maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00709 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Clairaut anti-invariant Riemannian maps with Kähler and Ricci soliton structures Yadav, Jyoti Shanker, Gauree Differential Geometry 53B20, 53B35 The aim of this article is to explore the Clairaut anti-invariant Riemannian maps from/to Kähler manifolds admitting Ricci solitons. We find the curvature relations and calculate the Ricci tensor under different conditions. We discuss the condition under which range space becomes $α$-Ricci soliton. We obtain conditions for the range and kernel spaces of these maps to be Einstein. Next, we find the scalar curvature for range space. Further, we give the relation between Ricci curvature and Lie derivative under these maps. Moreover, we find the condition for a vertical potential vector field on target manifold to be conformal vector field on range space of these maps. Finally, we give non-trivial examples of such maps. |
| title | Clairaut anti-invariant Riemannian maps with Kähler and Ricci soliton structures |
| topic | Differential Geometry 53B20, 53B35 |
| url | https://arxiv.org/abs/2401.00709 |