The Dirac Operator on Generalized Taub-NUT Spaces

被引：0
|
作者：
Andrei Moroianu
Sergiu Moroianu
机构：
[1] École Polytechnique,Centre de Mathématiques
[2] Institutul de Matematică al Academiei Române,undefined
[3] Şcoala Normală Superioară Bucharest,undefined
来源：
Communications in Mathematical Physics | 2011年 / 305卷
关键词：
Manifold; Line Bundle; Dirac Operator; Spin Structure; Conformal Factor;
D O I：
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中图分类号：
学科分类号：
摘要：
We find sufficient conditions for the absence of harmonic L2 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.
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页码：641 / 656
页数：15
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