Refined Kato inequalities and conformal weights in Riemannian geometry

Calderbank, David M. J.; Gauduchon, Paul; Herzlich, Marc

Refined Kato inequalities and conformal weights in Riemannian geometry

Authors

Calderbank, David M. J.

Gauduchon, Paul

Herzlich, Marc

Description

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.
AMS-LaTeX, 36pp, 1 figure (region.eps)