Differential forms, Weitzenböck formulae and foliations.

Título inglés Differential forms, Weitzenböck formulae and foliations.
Título español Formas diferenciales, fórmula de Weitzenböck y foliaciones.
Autor/es Rummler, Hansklaus
Organización Inst. Math. Univ. Fribourg, Friburgo, Suiza
Revista 0214-1493
Publicación 1989, 33 (3): 543-554, 3 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés The Weitzenböck formulae express the Laplacian of a differential form on an oriented Riemannian manifold in local coordinates, using the covariant derivatives of the form and the coefficients of the curvature tensor. In the first part, we shall describe a certain "differential algebra formalism" which seems to be a more natural frame for those formulae than the usual calculations in local coordinates.
In this formalism there appear some interesting differential operators which may also be used to characterize local geometric properties of foliations. That is the topic of the second part.
Clasificación UNESCO 120200
Palabras clave español Foliaciones ; Formas diferenciales
Código MathReviews MR1038489
Código Z-Math Zbl 0701.53033
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