The canonical Cartan bundle and connection in CR geometry

DOI10.1017/S0305004108001527zbMath1167.53064arXivmath/0605055MaRDI QIDQ3616241

Marc Herzlich

Publication date: 24 March 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605055

zbMATH Keywords

CR geometryCartan connectionparabolic geometriesCartan bundle

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Other complex differential geometry (53C56)

Related Items (4)

The CR geometry of weighted extremal Kähler and Sasaki metrics ⋮ Weyl connections and the local sphere theorem for quaternionic contact structures ⋮ CR-HARMONIC MAPS ⋮ PARABOLIC GEODESICS AS PARALLEL CURVES IN PARABOLIC GEOMETRIES

Cites Work

• Unnamed Item
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• Real hypersurfaces in complex manifolds
• Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
• Parabolic geometries, CR-tractors, and the Fefferman construction.
• Standard tractors and the conformal ambient metric construction
• Parabolic geometries and canonical Cartan connections
• Weyl connections and curvature properties of CR manifolds
• Thomas's structure bundle for conformal, projective and related structures
• Ricci-corrected derivatives and invariant differential operators
• Tractor calculi for parabolic geometries
• The Fefferman Metric and Pseudohermitian Invariants
• Psuedo-Einstein Structures on CR Manifolds
• Weyl structures for parabolic geometries
• Correspondence spaces and twistor spaces for parabolic geometries
• CR invariant powers of the sub-Laplacian

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