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The Laplace-Beltrami operator expressed in terms of fermionic-type creation and annihilation operators

2001 EDP Sciences
, , Citation P. Bracken 2001 EPL 56 163 DOI 10.1209/epl/i2001-00501-8

0295-5075/56/2/163

Abstract

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.

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10.1209/epl/i2001-00501-8