Invariant local twistor calculus for quaternionic structures and related geometries

DOI10.1016/S0393-0440(99)00018-2zbMath0981.53031arXivmath/9805016MaRDI QIDQ1808708

A. Rod Gover, Jan Slovák

Publication date: 25 November 1999

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9805016

zbMATH Keywords

parabolic subgroupsinvariant operatorsquaternionic manifoldsquaternionic structuresalmost Grassmannian manifoldsconformal spin geometriesconformal spin manifoldstwistor calculus

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Twistor methods in differential geometry (53C28) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential invariants (local theory), geometric objects (53A55) (G)-structures (53C10)

Related Items (8)

Notes on Tractor Calculi ⋮ Parabolic geometries, CR-tractors, and the Fefferman construction. ⋮ Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry ⋮ On a new normalization for tractor covariant derivatives ⋮ Tractor calculi for parabolic geometries ⋮ Generalized planar curves and quaternionic geometry ⋮ Invariant theory and calculus for conformal geometries ⋮ Complexes of invariant operators in several quaternionic variables

Cites Work

• Almost Hermitian symmetric manifolds. I: Local twistor theory
• On the equivalence problems associated with simple graded Lie algebras
• Thomas's structure bundle for conformal, projective and related structures
• Invariants and calculus for projective geometries
• Complex Paraconformal Manifolds – their Differential Geometry and Twistor Theory
• 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
• Multiplicity free categories of highest weight representations
• Differential geometry of quaternionic manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Invariant local twistor calculus for quaternionic structures and related geometries