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arXiv · 2410.15520

Extended Kato inequalities for conformal operators

Daniel Cibotaru·Matheus Vieira
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Abstract

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.

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Daniel Cibotaru, Matheus Vieira. 2024-10-20. Extended Kato inequalities for conformal operators. https://arxiv.org/abs/2410.15520

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