Ricci-corrected derivatives and invariant differential operators

DOI10.1016/j.difgeo.2004.07.009zbMath1082.58037arXivmath/0310311OpenAlexW2034775399WikidataQ115357999 ScholiaQ115357999MaRDI QIDQ2567136

Tammo Diemer, David M. J. Calderbank, Vladimír Souček

Publication date: 29 September 2005

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

Full work available at URL: https://arxiv.org/abs/math/0310311

zbMATH Keywords

invariant differential operatorsparabolic geometryRicci-corrected derivatives

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (18)

Notes on Tractor Calculi ⋮ Branching laws for Verma modules and applications in parabolic geometry. I ⋮ Bundles of Weyl structures and invariant calculus for parabolic geometries ⋮ Geometric theory of Weyl structures ⋮ Definite signature conformal holonomy: a complete classification ⋮ NORMAL BGG SOLUTIONS AND POLYNOMIALS ⋮ Einstein connections and involutions via parabolic geometries ⋮ Tractor calculus, BGG complexes, and the cohomology of cocompact Kleinian groups ⋮ Metric projective geometry, BGG detour complexes and partially massless gauge theories ⋮ The canonical Cartan bundle and connection in CR geometry ⋮ Projective geometry of Sasaki–Einstein structures and their compactification ⋮ Strongly essential flows on irreducible parabolic geometries ⋮ On Nurowski's conformal structure associated to a generic rank two distribution in dimension five ⋮ Isothermic submanifolds of symmetric R-spaces ⋮ On automorphism groups of some types of generic distributions ⋮ Conformal equations that are not Virasoro or Weyl invariant ⋮ PARABOLIC GEODESICS AS PARALLEL CURVES IN PARABOLIC GEOMETRIES ⋮ Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds

Cites Work

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• Almost Hermitian symmetric manifolds. I: Local twistor theory
• Verma modules and differential conformal invariants
• Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture
• Erratum: Conformally invariant differential operators on Minkowski space and their curved analogues
• Semiholonomic Verma modules
• Conformal anomaly of submanifold observables in AdS/CFT correspondence
• Parabolic geometries and canonical Cartan connections
• Lagrangean contact structures on projective cotangent bundles
• Invariant operators on manifolds with almost Hermitian symmetric structures. III: Standard operators
• Large \(N\) field theories, string theory and gravity
• Representation of complex semi-simple Lie groups and Lie algebras
• Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
• Tractor calculi for parabolic geometries
• Conformally Invariant Powers of the Laplacian, II: Nonexistence
• On Conformally Invariant Differential Operators
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Invariant operators on manifolds with almost Hermitian symmetric structures, I. Invariant differentiation
• Invariant operators on manifolds with almost Hermitian symmetric structures, II. Normal Cartan connections
• Second order conformal covariants
• Causality of massive spin-2 field in external gravity
• Bernstein-Gelfand-Gelfand sequences

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