Isometric immersions into Riemannian Manifolds
This paper summarizes the basic theory of connections in principal bundles and vector bundles in order to apply these theories to the study of isometric immersions in Riemannian manifolds; by an appropriate version ofthe Frobenius theorem we show a result that generalizes the Fundamental Theorem of...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | Colombia |
| Institución: | Universidad Industrial de Santander |
| Repositorio: | Repositorio UIS |
| Idioma: | español |
| OAI Identifier: | oai:noesis.uis.edu.co:20.500.14071/7310 |
| Acceso en línea: | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2409 https://noesis.uis.edu.co/handle/20.500.14071/7310 |
| Access Level: | acceso abierto |
| Palabra clave: | vector bundles frame bundles and connections isometric immersions fibrados vectoriales fibrados de referenciales y conexiones inmersiones isométricas |
| Sumario: | This paper summarizes the basic theory of connections in principal bundles and vector bundles in order to apply these theories to the study of isometric immersions in Riemannian manifolds; by an appropriate version ofthe Frobenius theorem we show a result that generalizes the Fundamental Theorem of isometric immersions. |
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