A Kato-Yau inequality for harmonic spinors and decay estimate for eigenspinors
Differential Geometry
2016-04-08 v4 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We show that harmonic spinors obey a strengthened version of the well-known pointwise Kato inequality for sections of a vector bundle with a connection. We then prove a decay estimate for eigenspinors using this Kato-Yau estimate and resulting differential inequality. We briefly describe some applications to gauge theory---specifically to integral estimates which are used when gluing and ungluing PU(2) monopoles (math.DG/9907107).
Cite
@article{arxiv.math/9903021,
title = {A Kato-Yau inequality for harmonic spinors and decay estimate for eigenspinors},
author = {Paul M. N. Feehan},
journal= {arXiv preprint arXiv:math/9903021},
year = {2016}
}
Comments
19 pages, Latex 2e. The article has been revised for publication. Journal of Geometric Analysis, to appear