Harmonic forms on manifolds with edges

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dc.creatorHunsicker, Eugenie
dc.creatorMazzeo, Rafe
dc.date2005-03-16
dc.date.accessioned2026-07-07T05:17:59Z
dc.date.available2026-07-07T05:17:59Z
dc.descriptionLet $(X,g)$ be a compact Riemannian stratified space with simple edge singularity. Thus a neighbourhood of the singular stratum is a bundle of truncated cones over a lower dimensional compact smooth manifold. We calculate the various polynomially weighted de Rham cohomology spaces of $X$, as well as the associated spaces of harmonic forms. In the unweighted case, this is closely related to recent work of Cheeger and Dai \cite{CD}. Because the metric $g$ is incomplete, this requires a consideration of the various choices of ideal boundary conditions at the singular set. We also calculate the space of $L^2$ harmonic forms for any complete edge metric on the regular part of $X$.
dc.identifierhttps://arxiv.org/abs/math/0503318
dc.identifierhttp://arxiv.org/abs/math/0503318
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74508
dc.subjectDifferential Geometry
dc.subject58A14; 32S60
dc.titleHarmonic forms on manifolds with edges
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