The Dirac operator on generalized Taub-NUT spaces
Differential Geometry
2019-01-08 v2 Mathematical Physics
math.MP
Abstract
We find sufficient conditions for the absence of harmonic spinors on spin manifolds constructed as cone bundles over a compact K\"ahler 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 Vi\csinescu and the second author.
Keywords
Cite
@article{arxiv.1003.5364,
title = {The Dirac operator on generalized Taub-NUT spaces},
author = {Andrei Moroianu and Sergiu Moroianu},
journal= {arXiv preprint arXiv:1003.5364},
year = {2019}
}
Comments
Final version, 16 pages