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Communications in Mathematical Physics

, Volume 305, Issue 3, pp 641–656 | Cite as

The Dirac Operator on Generalized Taub-NUT Spaces

  • Andrei Moroianu
  • Sergiu Moroianu
Article

Abstract

We find sufficient conditions for the absence of harmonic L 2 spinors on spin manifolds constructed as cone bundles over a compact Kähler base. These conditions are fulfilled for certain perturbations of the Euclidean metric, and also for the generalized Taub-NUT metrics of Iwai-Katayama, thus proving a conjecture of Vişinescu and the second author.

Keywords

Manifold Line Bundle Dirac Operator Spin Structure Conformal Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Centre de MathématiquesÉcole PolytechniquePalaiseau CedexFrance
  2. 2.Institutul de Matematică al Academiei RomâneBucharestRomania
  3. 3.Şcoala Normală Superioară BucharestBucharestRomania

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