Dualistic Structures on Twisted Product Manifolds
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2014
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| _version_ | 1866912063147737088 |
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| author | Diallo, Abdoul Salam Todjihounde, Leonard |
| author_facet | Diallo, Abdoul Salam Todjihounde, Leonard |
| contents | In this paper, we show that the projection of a dualistic structure defined on a twisted product manifold induces dualistic structures on the base and the fiber manifolds, and conversely. Then under some conditions on the Ricci curvature and the Weyl conformal tensor we characterize dually flat structures on twisted product manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1408_3450 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Dualistic Structures on Twisted Product Manifolds Diallo, Abdoul Salam Todjihounde, Leonard Differential Geometry 2010: 53A15, 53B05, 53B15, 53B20 In this paper, we show that the projection of a dualistic structure defined on a twisted product manifold induces dualistic structures on the base and the fiber manifolds, and conversely. Then under some conditions on the Ricci curvature and the Weyl conformal tensor we characterize dually flat structures on twisted product manifolds. |
| title | Dualistic Structures on Twisted Product Manifolds |
| topic | Differential Geometry 2010: 53A15, 53B05, 53B15, 53B20 |
| url | https://arxiv.org/abs/1408.3450 |