BOCHNER–WEITZENBÖCK FORMULAS ASSOCIATED WITH THE RARITA–SCHWINGER OPERATOR

DOI10.1142/S0129167X02001174zbMath1109.53306arXivhep-th/0110014OpenAlexW2024655624MaRDI QIDQ4807394

Oussama Hijazi, Thomas P. Branson

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0110014

zbMATH Keywords

Weitzenböck formulatwistorKato inequalityRarita-Schwinger operator

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Twistor methods in differential geometry (53C28)

Related Items (9)

A note on twisted Dirac operators on closed surfaces ⋮ Pin(2)-equivariance property of the Rarita-Schwinger-Seiberg-Witten equations ⋮ Unnamed Item ⋮ Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds ⋮ On the multiplicity of eigenvalues of conformally covariant operators ⋮ The Weitzenböck machine ⋮ Polynomial invariants for the rarita-schwinger operator ⋮ Manifolds with many Rarita-Schwinger fields ⋮ The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds

Cites Work

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• Spin manifolds, Killing spinors and universality of the Hijazi inequality
• Intertwining differential operators for spinor-form representations of the conformal group
• Stein-Weiss operators and ellipticity
• Refined Kato inequalities and conformal weights in Riemannian geometry
• Kato constants in Riemannian geometry
• Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup
• IMPROVED FORMS OF SOME VANISHING THEOREMS IN RIEMANNIAN SPIN GEOMETRY
• Linear Algebra of Curvature Tensors and Their Covariant Derivatives
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Vanishing Theorems and Eigenvalue Estimates in Riemannian Spin Geometry
• Second order conformal covariants
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group

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