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...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2011
- Institución:
- Universidad Industrial de Santander
- Repositorio:
- Repositorio UIS
- Idioma:
- spa
- 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
- Palabra clave:
- vector bundles
frame bundles and connections
isometric immersions
fibrados vectoriales
fibrados de referenciales y conexiones
inmersiones isométricas
- Rights
- openAccess
- License
- Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
| Summary: | 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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