On a family of Einstein like Walker metrics
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866913989559058432 |
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| author | Kaboye, Issa Allassane Ciss, Mamadou Diallo, Abdoul Salam |
| author_facet | Kaboye, Issa Allassane Ciss, Mamadou Diallo, Abdoul Salam |
| contents | A four dimensional pseudo-Riemannian manifold of signature (2, 2) is called a Walker manifold if it admits a parallel degenerate plane field. In this paper, we study the curvature properties of such a class of four dimensional Walker manifolds. In particular, we characterize Walker metrics of a given form which are Einstein-like. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06445 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a family of Einstein like Walker metrics Kaboye, Issa Allassane Ciss, Mamadou Diallo, Abdoul Salam Differential Geometry 53B30, 53C25, 53C50 A four dimensional pseudo-Riemannian manifold of signature (2, 2) is called a Walker manifold if it admits a parallel degenerate plane field. In this paper, we study the curvature properties of such a class of four dimensional Walker manifolds. In particular, we characterize Walker metrics of a given form which are Einstein-like. |
| title | On a family of Einstein like Walker metrics |
| topic | Differential Geometry 53B30, 53C25, 53C50 |
| url | https://arxiv.org/abs/2410.06445 |