Volume 56, Number 2, October 2001
|Page(s)||163 - 169|
|Published online||01 December 2003|
The Laplace-Beltrami operator expressed in terms of fermionic-type creation and annihilation operators
Centre de Recherches Mathématiques, Université de Montréal
2920 Chemin de la Tour, Pavillon André Aisenstadt
C.P. 6128 Succ. Centre Ville,
Montréal, QC, H3C 3J7 Canada
Accepted: 26 July 2001
Several operator relations for differential operators on a Riemannian manifold are written down in terms of a set of basis operators which act on an exterior algebra. Differential geometric relations are expressed in terms of these operators. An important relation which connects the Laplace-Beltrami operator on p-forms to the Bochner Laplacian is developed.
PACS: 02.40.Ma – Global differential geometry / 03.65.Ca – Formalism
© EDP Sciences, 2001
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