Extended Kato inequalities for conformal operators
Differential Geometry
2025-06-23 v2
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.
Cite
@article{arxiv.2410.15520,
title = {Extended Kato inequalities for conformal operators},
author = {Daniel Cibotaru and Matheus Vieira},
journal= {arXiv preprint arXiv:2410.15520},
year = {2025}
}
Comments
version 2, corrected a misstatement and some typos, added in references, to appear as a slightly shorter version in Proc. of AMS