On the Spectral Theory of Surfaces with Cusps

Werner Ballmann () and Jochen Brüning ()
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Werner Ballmann: Universität Bonn, Mathematisches Institut
Jochen Brüning: Humboldt-Universität, Institut für Mathematik

A chapter in Geometric Analysis and Nonlinear Partial Differential Equations, 2003, pp 13-37 from Springer

Abstract: Summary We are interested in the spectral properties of Dirac operators on noncompact surfaces. Under the assumption that 1) the ends of the given surface M are cusps as in the case of finite area surfaces of negative curvature and 2) the geometry of the Dirac bundle in question is closely related to the geometry of M we investigate the essential spectrum of the corresponding Dirac operator D and discuss its Fredholm index.

Keywords: Dirac Operator; Spectral Theory; Spin Structure; Essential Spectrum; Index Formula (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55627-2_2

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DOI: 10.1007/978-3-642-55627-2_2

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