✦ LIBER ✦
Refined Kato Inequalities and Conformal Weights in Riemannian Geometry
✍ Scribed by David M.J. Calderbank; Paul Gauduchon; Marc Herzlich
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 291 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
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.