# Differential forms, Weitzenböck formulae and foliations.

Publicacions Matemàtiques (1989)

- Volume: 33, Issue: 3, page 543-554
- ISSN: 0214-1493

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topRummler, Hansklaus. "Differential forms, Weitzenböck formulae and foliations.." Publicacions Matemàtiques 33.3 (1989): 543-554. <http://eudml.org/doc/41090>.

@article{Rummler1989,

abstract = {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.},

author = {Rummler, Hansklaus},

journal = {Publicacions Matemàtiques},

keywords = {Foliaciones; Formas diferenciales; Weitzenboeck formula; differential algebra formalism; Laplacian; differential forms; foliations},

language = {eng},

number = {3},

pages = {543-554},

title = {Differential forms, Weitzenböck formulae and foliations.},

url = {http://eudml.org/doc/41090},

volume = {33},

year = {1989},

}

TY - JOUR

AU - Rummler, Hansklaus

TI - Differential forms, Weitzenböck formulae and foliations.

JO - Publicacions Matemàtiques

PY - 1989

VL - 33

IS - 3

SP - 543

EP - 554

AB - 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.

LA - eng

KW - Foliaciones; Formas diferenciales; Weitzenboeck formula; differential algebra formalism; Laplacian; differential forms; foliations

UR - http://eudml.org/doc/41090

ER -

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