Some Conformally Flat Spin Manifolds, Dirac Operators and Automorphic Forms

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dc.creatorKrausshar, Rolf Soeren
dc.creatorRyan, John
dc.date2002-12-05
dc.date.accessioned2026-07-07T04:53:34Z
dc.date.available2026-07-07T04:53:34Z
dc.descriptionIn this paper we study Clifford and harmonic analysis on some conformal flat spin manifolds. In particular we treat manifolds that can be parametrized by $U / Γ$ where $U$ is a simply connected subdomain of either $S^{n}$ or $R^{n}$ and $Γ$ is a Kleinian group acting discontinuously on $U$. Examples of such manifolds treated here include for example $RP^{n}$ and $S^{1}\times S^{n-1}$. Special kinds of Clifford-analytic automorphic forms associated to the different choices of $Γ$ are used to construct Cauchy kernels, Cauchy Integral formulas, Green's kernels and formulas together with Hardy spaces, Plemelj projection operators and Szegö kernels for $L^{p}$ spaces of hypersurfaces lying in these manifolds.
dc.identifierhttps://arxiv.org/abs/math/0212086
dc.identifierhttp://arxiv.org/abs/math/0212086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65902
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject30 G 35, 53 C 27, 42 B 35
dc.titleSome Conformally Flat Spin Manifolds, Dirac Operators and Automorphic Forms
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