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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