Characteristic forms of complex Cartan geometries

DOI10.1515/ADVGEOM.2010.044zbMath1214.53059arXiv0704.2555OpenAlexW2964111706MaRDI QIDQ3074806

Benjamin McKay

Publication date: 10 February 2011

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2555

zbMATH Keywords

rational homogeneous varietynormal projective connectioncharacteristic ringholomorphic \(G\)-structure

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Characteristic classes and numbers in differential topology (57R20) Other complex differential geometry (53C56)

Related Items (7)

Holomorphic Cartan geometries and rational curves ⋮ Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds ⋮ Connexions affines et projectives sur les surfaces complexes compactes ⋮ On Kähler metrisability of two-dimensional complex projective structures ⋮ Single-valued Killing fields of a meromorphic affine connection and classification ⋮ Holomorphic geometric structures on Kähler-Einstein manifolds ⋮ Killing fields of holomorphic Cartan geometries

Cites Work

• Metrics with exceptional holonomy
• Hirzebruch's proportionality theorem in the non-compact case
• Holomorphic projective structures on compact complex surfaces
• Third order ordinary differential equations and Legendre connections
• Differential equations and conformal structures
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Closed Manifolds with Homogeneous Complex Structure

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