Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/96380 |
| Acceso en línea: | http://hdl.handle.net/11336/96380 |
| Access Level: | acceso abierto |
| Palabra clave: | Natural Tensor Fields Tangent Bundle Riemannian Manifolds https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle. |
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