The Weitzenböck machine

DOI10.1112/S0010437X09004333zbMath1188.53019arXivmath/0702031OpenAlexW1554709452MaRDI QIDQ3552185

Gregor Weingart, Uwe Semmelmann

Publication date: 13 April 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702031

zbMATH Keywords

generalized gradientsWeitzenböck formulasCasimir elementsconformal weight operator

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Issues of holonomy in differential geometry (53C29) Local Riemannian geometry (53B20)

Related Items (14)

Killing and conformal Killing tensors ⋮ Twisted Dirac operators and generalized gradients ⋮ Topology of 2D Dirac operators with variable mass and an application to shallow-water waves ⋮ A new proof of Branson's classification of elliptic generalized gradients ⋮ Yang-Mills flow on special-holonomy manifolds ⋮ Jacobi relations on naturally reductive spaces ⋮ On quaternionic complexes over unimodular quaternionic manifolds ⋮ Curvature decomposition of \(G_2\)-manifolds ⋮ Universal positive mass theorems ⋮ The standard Laplace operator ⋮ Almost complex structures on quaternion-Kähler manifolds and inner symmetric spaces ⋮ A representation-theoretical proof of Branson's classification of elliptic generalized gradients ⋮ A NOTE ON THE CONFORMAL INVARIANCE OF G-GENERALIZED GRADIENTS ⋮ The positive mass theorem for manifolds with distributional curvature

Cites Work

• Refined Kato inequalities and conformal weights in Riemannian geometry
• Killing forms on \(G_2\)- and spin\(_7\)-manifolds
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• BOCHNER–WEITZENBÖCK FORMULAS ASSOCIATED WITH THE RARITA–SCHWINGER OPERATOR
• Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds

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