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Extended Kato inequalities for conformal operators

Year: 2025

Type: article

Abstract: We prove, for a class of first order differential operators containing generalized gradients, the Dirac and Penrose twistor operators, a family of Kato inequalities that interpolates between the classical and the refined Kato inequalities. For the Hodge-de-Rham operator we get a more detailed result. As applications, we obtain various Kato inequalities from the literature.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17385

Authors: Daniel Cibotaru, Matheus Vieira

Institutions: Universidade Federal do Ceará, Universidade Federal do Espírito Santo

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4416959952

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Cites: 19

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