Almost Hermitian symmetric manifolds. I: Local twistor theory

DOI10.1215/S0012-7094-91-06305-2zbMath0724.53019WikidataQ125661721 ScholiaQ125661721MaRDI QIDQ757852

R. J. Baston

Publication date: 1991

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hermitian symmetric spacetwistor theorySpencer cohomologyalmost Hermitian symmetric manifoldalmost Lagrangian structures

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

Notes on Tractor Calculi, Thomas's structure bundle for conformal, projective and related structures, Residual Weyl symmetry out of conformal geometry and its BRST structure, Semiholonomic Verma modules, Conformal and Grassmann structures, Geometric theory of Weyl structures, Invariant operators and Clifford analysis, Definite signature conformal holonomy: a complete classification, Quaternionic complexes, A remark on a helicopter and submarine game, Differential invariants and curved Bernstein-Gelfand-Gelfand sequences, Nonholonomic Riemann and Weyl tensors for flag manifolds, Tractor calculi for parabolic geometries, Tractor calculus, BGG complexes, and the cohomology of cocompact Kleinian groups, The Cayley cubic and differential equations, Invariant local twistor calculus for quaternionic structures and related geometries, Almost Hermitian symmetric manifolds. II: Differential invariants, PROLONGATIONS OF GEOMETRIC OVERDETERMINED SYSTEMS, Ricci-corrected derivatives and invariant differential operators

Cites Work

• Almost Hermitian symmetric manifolds. II: Differential invariants
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• Conformally flat manifolds, Kleinian groups and scalar curvature
• Representations of real reductive Lie groups
• Quaternionic Kaehler manifolds
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Nonlinear gravitons and curved twistor theory
• A generalization of the Bernstein-Gelfand-Gelfand resolution
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Complex Paraconformal Manifolds – their Differential Geometry and Twistor Theory
• Conformally Invariant Operators: Singular Cases
• Overdetermined systems of linear partial differential equations
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