Infinitesimal aspects of the Laplace operator

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dc.creatorKock, Anders
dc.date2000-06-23
dc.date.accessioned2026-07-07T04:36:03Z
dc.date.available2026-07-07T04:36:03Z
dc.descriptionIn the context of synthetic differential geometry, we study the Laplace operator an a Riemannian manifold. The main new aspect is a neighbourhood of the diagonal, smaller than the second neighbourhood usually required as support for second order differential operators. The new neighbourhood has the property that a function is affine on it if and only if it is harmonic.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0006180
dc.identifierhttp://arxiv.org/abs/math/0006180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59465
dc.subjectCategory Theory
dc.subjectDifferential Geometry
dc.subject18F99;53B20
dc.titleInfinitesimal aspects of the Laplace operator
dc.typetext

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