A representation-theoretical proof of Branson's classification of elliptic generalized gradients

DOI10.1016/j.difgeo.2011.04.025zbMath1226.58007OpenAlexW1966732325WikidataQ115356879 ScholiaQ115356879MaRDI QIDQ719841

Mihaela Pilca

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.025

zbMATH Keywords

generalized gradientKato inequalityelliptic differential operatorKato constant

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Differential complexes (58J10)

Related Items (1)

Generalised Maxwell equations in higher dimensions

Cites Work

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• Harmonic analysis in vector bundles associated to the rotation and spin groups
• Stein-Weiss operators and ellipticity
• Refined Kato inequalities and conformal weights in Riemannian geometry
• Kato constants in Riemannian geometry
• The Weitzenböck machine
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Only one of generalized gradients can be elliptic
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group
• Lie groups beyond an introduction

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