Groups of transformations of a G-structure which leave invariant a substructure
The author considers an m-dimensional manifold M, two closed subgroups G, H of GL(m;R) with G containing H, and a G-structure p:A!M. A Lie group of transformations of A is said to be inessential if there exists anH-structure B in A such that Aut(B). The aim of this paper is to impose conditions onM,...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1982 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/64790 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/64790 |
| Access Level: | acceso abierto |
| Palabra clave: | 514.7 Invariant substructure G-structure Lie group of transformations Geometría diferencial 1204.04 Geometría Diferencial |
| Sumario: | The author considers an m-dimensional manifold M, two closed subgroups G, H of GL(m;R) with G containing H, and a G-structure p:A!M. A Lie group of transformations of A is said to be inessential if there exists anH-structure B in A such that Aut(B). The aim of this paper is to impose conditions onM, G,H,A and so that is inessential. |
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