Refined Kato inequalities and conformal weights in Riemannian geometry
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Functional Analysis
Abstract
We establish refinements of the classical Kato inequality for sections of a vector bundle which lie in the kernel of a natural injectively elliptic first-order linear differential operator. Our main result is a general expression which gives the value of the constants appearing in the refined inequalities. These constants are shown to be optimal and are computed explicitly in most practical cases.
Keywords
Cite
@article{arxiv.math/9909116,
title = {Refined Kato inequalities and conformal weights in Riemannian geometry},
author = {David M. J. Calderbank and Paul Gauduchon and Marc Herzlich},
journal= {arXiv preprint arXiv:math/9909116},
year = {2007}
}
Comments
AMS-LaTeX, 36pp, 1 figure (region.eps)