Foliations induced by metallic structures
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866908504751603712 |
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| author | Blaga, Adara M. Nannicini, Antonella |
| author_facet | Blaga, Adara M. Nannicini, Antonella |
| contents | We give necessary and sufficient conditions for the real distributions defined by a metallic pseudo-Riemannian structure to be integrable and geodesically invariant, in terms of associated tensor fields to the metallic structures and of adapted connections. In the integrable case, we prove a Chen-type inequality for these distributions and provide conditions for a metallic map to preserve these distributions. If the structure is metallic Norden, we describe the complex metallic distributions in the same spirit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_04006 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Foliations induced by metallic structures Blaga, Adara M. Nannicini, Antonella Differential Geometry We give necessary and sufficient conditions for the real distributions defined by a metallic pseudo-Riemannian structure to be integrable and geodesically invariant, in terms of associated tensor fields to the metallic structures and of adapted connections. In the integrable case, we prove a Chen-type inequality for these distributions and provide conditions for a metallic map to preserve these distributions. If the structure is metallic Norden, we describe the complex metallic distributions in the same spirit. |
| title | Foliations induced by metallic structures |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/1903.04006 |