Título inglés | Forms equivalent to curvatures. |
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Título español | Formas equivalentes a curvaturas. |
Autor/es | Porta, Horacio ; Recht, Lázaro |
Organización | Dep. Math. Univ. Illinois, Urbana (Illinois), Estados Unidos;Div. Fis. Mat. Univ. Simón Bolívar, Caracas, Venezuela |
Revista | 0213-2230 |
Publicación | 1986, 2 (4): 397-403, 5 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | The 2-forms, Ω and Ω' on a manifold M with values in vector bundles ξ --> M and ξ' --> M are equivalent if there exist smooth fibered-linear maps ξ --> ξ' and W: ξ --> ξ' with Ω' = UΩ and Ω = WΩ'. It is shown that an ordinary 2-form equivalent to the curvature of a linear connection has locally a non-vanishing integrating factor at each point in the interior of the set rank (ω) = 2 or in the set rank (ω) > 2. Under favorable conditions the same holds at points where the rank of ω changes from =2 to >2. Global versions are also considered. |
Clasificación UNESCO | 120404 |
Palabras clave español | Forma diferencial global ; Curvatura |
Código MathReviews | MR0913695 |
Código Z-Math | Zbl 0632.53031 |
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