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：

暂无

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.

引用

页码：641 / 656

页数：15