Refined Kato inequalities and conformal weights in Riemannian geometry

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

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arXiv · math/9909116

Refined Kato inequalities and conformal weights in Riemannian geometry

David M. J. Calderbank·Paul Gauduchon·Marc Herzlich

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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.

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David M. J. Calderbank, Paul Gauduchon, Marc Herzlich. 1999-09-21. Refined Kato inequalities and conformal weights in Riemannian geometry. https://arxiv.org/abs/math/9909116

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