CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS

From MaRDI portal
Publication:4101215

DOI10.1093/qmath/27.3.371zbMath0334.58016OpenAlexW2063266225MaRDI QIDQ4101215

Howard D. Fegan

Publication date: 1976

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/27.3.371



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (58)

The spinor and tensor fields with higher spin on spaces of constant curvatureExpansions for the Dirac operator and related operators in super spinor spaceOn a class of tensor product representations for the orthosymplectic superalgebraGeneralised Maxwell equations in higher dimensionsBOCHNER–WEITZENBÖCK FORMULAS ASSOCIATED WITH THE RARITA–SCHWINGER OPERATORTwisted Dirac operators and generalized gradientsSymmetries in differential geometry: a computational approach to prolongationsConformally invariant differential operators on Minkowski space and their curved analoguesConstruction of conformally invariant higher spin operators using transvector algebrasSubriemannian metrics and the metrizability of parabolic geometriesStein-Weiss operators and ellipticityConstruction of arbitrary order conformally invariant operators in higher spin spacesTwistor geometry and warped product orthogonal complex structuresHigher Order Fermionic and Bosonic OperatorsQuaternionic analytic torsion.Higher spin Dirac operators between spaces of simplicial monogenics in two vector variablesThe higher spin Laplace operator in several vector variablesA new proof of Branson's classification of elliptic generalized gradientsInvariant operators and Clifford analysisCurvature actions on Spin\((n)\) bundlesConformally invariant first order equations, their analysis and geometryThe polynomial null solutions of a higher spin Dirac operator in two vector variablesTwisted higher spin Dirac operatorsGauge theories on four dimensional Riemannian manifoldsBochner-Weitzenböck formulas and curvature actions on Riemannian manifoldsThird-Order Fermionic and Fourth-Order Bosonic OperatorsIMPROVED FORMS OF SOME VANISHING THEOREMS IN RIEMANNIAN SPIN GEOMETRYThe Weitzenböck machineHarmonic analysis in vector bundles associated to the rotation and spin groupsClassification of 1st order symplectic spinor operators over contact projective geometriesSecond order conformal covariantsUniversal positive mass theoremsSolutions of the Poisson equation and related equations in super spinor spaceDifferential invariants and curved Bernstein-Gelfand-Gelfand sequencesTotal Rarita-Schwinger operators in Clifford analysisOn the fundamental solution for higher spin Dirac operatorsConstruction of special solutions for the Maxwell equationsThe higher spin Laplace operatorKilling forms on \(G_2\)- and spin\(_7\)-manifoldsDescription of a Complex of Operators Acting Between Higher Spinor ModulesRarita-Schwinger type operators in Clifford analysisA representation-theoretical proof of Branson's classification of elliptic generalized gradientsSharp Inequalities, the Functional Determinant, and the Complementary SeriesConformally equivariant quantization for spinning particlesUnnamed ItemConformal symmetries of the super Dirac operatorDifferential geometry of quaternionic manifoldsRefined Kato inequalities and conformal weights in Riemannian geometryA NOTE ON THE CONFORMAL INVARIANCE OF G-GENERALIZED GRADIENTSSome new conformal covariantsRicci-corrected derivatives and invariant differential operatorsRarita–Schwinger fields in the half spaceBochner identities for Kählerian gradientsLeading weight vectors and homomorphisms between generalized Verma modulesConformal geometry and global invariantsA conformally invariant differential operator on Weyl tensor densitiesA discrete leading symbol and spectral asymptotics for natural differential operatorsA Penrose transform for the twistor space of an even dimensional conformally flat Riemannian manifold




This page was built for publication: CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS