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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2511.09968 |
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| _version_ | 1866918200315215872 |
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| author | Sadeghzadeh, Nasrin |
| author_facet | Sadeghzadeh, Nasrin |
| contents | This paper introduces a new quantity in Finsler geometry, called the generalized Berwald projective Weyl ($GB\widetilde{W}$) metric. The $C$-projective invariance of these metrics is demonstrated, and it is shown that they constitute a proper subset of the class of generalized Douglas ($GDW$) metrics. The paper also proves that all $GDW$ metrics with vanishing Landsberg curvature are of R-quadratic type. The class of $GDW$ metrics contains all Finsler metrics of scalar curvature, which provides an extension of the well-known Numata's theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09968 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Berwald Projective Weyl metrics Sadeghzadeh, Nasrin Differential Geometry 53B40, 53C60 This paper introduces a new quantity in Finsler geometry, called the generalized Berwald projective Weyl ($GB\widetilde{W}$) metric. The $C$-projective invariance of these metrics is demonstrated, and it is shown that they constitute a proper subset of the class of generalized Douglas ($GDW$) metrics. The paper also proves that all $GDW$ metrics with vanishing Landsberg curvature are of R-quadratic type. The class of $GDW$ metrics contains all Finsler metrics of scalar curvature, which provides an extension of the well-known Numata's theorem. |
| title | Generalized Berwald Projective Weyl metrics |
| topic | Differential Geometry 53B40, 53C60 |
| url | https://arxiv.org/abs/2511.09968 |