Three-Dimensional Almost Contact Metric Manifolds Revisited via the Newman-Penrose Formalism
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913105561255936 |
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| author | Matsuno, Satsuki |
| author_facet | Matsuno, Satsuki |
| contents | This paper applies the Newman-Penrose formalism-a technique primarily used in General Relativity-to the analysis of three-dimensional almost contact metric (ACM) manifolds. We reformulate and discuss several known notions and properties within the Newman-Penrose framework, demonstrating the applicability of the method in this geometric context. Furthermore, as an application showcasing the utility of the formalism, we address the classification of three-dimensional compact normal ACM manifolds, or equivalently trans-Sasakian manifolds, that admit an $η$-Einstein metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22444 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Three-Dimensional Almost Contact Metric Manifolds Revisited via the Newman-Penrose Formalism Matsuno, Satsuki Differential Geometry This paper applies the Newman-Penrose formalism-a technique primarily used in General Relativity-to the analysis of three-dimensional almost contact metric (ACM) manifolds. We reformulate and discuss several known notions and properties within the Newman-Penrose framework, demonstrating the applicability of the method in this geometric context. Furthermore, as an application showcasing the utility of the formalism, we address the classification of three-dimensional compact normal ACM manifolds, or equivalently trans-Sasakian manifolds, that admit an $η$-Einstein metric. |
| title | Three-Dimensional Almost Contact Metric Manifolds Revisited via the Newman-Penrose Formalism |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2512.22444 |