Forms Equivalent to Curvature.
- Autores: Horacio Porta, Lázaro Recht
- Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 2, Nº 4, 1986, págs. 397-403
- Idioma: inglés
- DOI: 10.4171/rmi/41
- Títulos paralelos:
- Formas equivalentes a curvaturas.
- Enlaces
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Resumen
The 2-forms, O and O' on a manifold M with values in vector bundles ? --> M and ?' --> M are equivalent if there exist smooth fibered-linear maps ? --> ?' and W: ? --> ?' with O' = UO and O = WO'. 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 (?) = 2 or in the set rank (?) > 2. Under favorable conditions the same holds at points where the rank of ? changes from =2 to >2. Global versions are also considered.
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