On the geometry of metallic pseudo-Riemannian structures
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2018
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| Acceso en línea: | |
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| _version_ | 1866915420461596672 |
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| author | Blaga, Adara M. Nannicini, Antonella |
| author_facet | Blaga, Adara M. Nannicini, Antonella |
| contents | We generalize the notion of metallic structure in the pseudo-Riemannian setting, define the metallic Norden structure and study its integrability. We consider metallic maps between metallic manifolds and give conditions under which they are constant. We also construct a metallic natural connection recovering as particular case the Ganchev and Mihova connection, which we extend to a metallic natural connection on the generalized tangent bundle. Moreover, we construct metallic pseudo-Riemannian structures on the tangent and cotangent bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_10406 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On the geometry of metallic pseudo-Riemannian structures Blaga, Adara M. Nannicini, Antonella General Mathematics We generalize the notion of metallic structure in the pseudo-Riemannian setting, define the metallic Norden structure and study its integrability. We consider metallic maps between metallic manifolds and give conditions under which they are constant. We also construct a metallic natural connection recovering as particular case the Ganchev and Mihova connection, which we extend to a metallic natural connection on the generalized tangent bundle. Moreover, we construct metallic pseudo-Riemannian structures on the tangent and cotangent bundles. |
| title | On the geometry of metallic pseudo-Riemannian structures |
| topic | General Mathematics |
| url | https://arxiv.org/abs/1811.10406 |