Differential forms, Weitzenböck formulae and foliations.
Rummler, Hansklaus

Data: 1989
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Publicacions Matemàtiques, V. 33 n. 3 (1989) p. 543-554, ISSN 0214-1493

Adreça alternativa: http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/37606
DOI: 10.5565/PUBLMAT_33389_12
DOI: 10.5565/37606

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