Analysis and Geometry of Boundary-Manifolds of Bounded Geometry

Simple item page
dc.creatorSchick, Thomas
dc.date1998-10-17
dc.date.accessioned2026-07-07T05:26:30Z
dc.date.available2026-07-07T05:26:30Z
dc.descriptionIn this paper, we investigate analytical and geometric properties of certain non-compact boundary-manifolds, namely manifolds of bounded geometry. One result are strong Bochner type vanishing results for the L^2-cohomology of these manifolds: if e.g. a manifold admits a metric of bounded geometry which outside a compact set has nonnegative Ricci curvature and nonnegative mean curvature (of the boundary) then its first relative L^2-cohomology vanishes (this in particular answers a question of Roe). We prove the Hodge-de Rham-theorem for L^2-cohomology of oriented boundary-manifolds of bounded geometry. The technical basis is the study of (uniformly elliptic) boundary value problems on these manifolds, applied to the Laplacian.
dc.descriptionAMS-Latex2e, 41 pages
dc.identifierhttps://arxiv.org/abs/math/9810107
dc.identifierhttp://arxiv.org/abs/math/9810107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77572
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject53C20 (primary); 58G20, 57R19 (secondary)
dc.titleAnalysis and Geometry of Boundary-Manifolds of Bounded Geometry
dc.typetext

Files

Collections

arXiv