Extended Kato inequalities for conformal operators

Fuente: arXiv
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Autores principales: Cibotaru, Daniel, Vieira, Matheus
Formato: Preprint
Publicado: 2024
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author Cibotaru, Daniel
Vieira, Matheus
author_facet Cibotaru, Daniel
Vieira, Matheus
contents We prove, for a class of first order differential operators containing the generalized gradients, Dirac and Penrose twistor operators, a family of Kato inequalities that interpolates between the classical and the refined Kato. For the Hodge-de-Rham operator we get a more detailed result. As a corollary, we get various Kato inequalities from the literature.
format Preprint
id arxiv_https___arxiv_org_abs_2410_15520
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Extended Kato inequalities for conformal operators
Cibotaru, Daniel
Vieira, Matheus
Differential Geometry
47A63
We prove, for a class of first order differential operators containing the generalized gradients, Dirac and Penrose twistor operators, a family of Kato inequalities that interpolates between the classical and the refined Kato. For the Hodge-de-Rham operator we get a more detailed result. As a corollary, we get various Kato inequalities from the literature.
title Extended Kato inequalities for conformal operators
topic Differential Geometry
47A63
url https://arxiv.org/abs/2410.15520