Locally homogeneous affine connections on compact surfaces

DOI10.1090/S0002-9939-04-07402-7zbMath1057.53018OpenAlexW1516774463WikidataQ125858738 ScholiaQ125858738MaRDI QIDQ4813690

Barbara Opozda

Publication date: 13 August 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07402-7

zbMATH Keywords

affine connectionlocal homogeneity

Mathematics Subject Classification ID

Global submanifolds (53C40) Connections (general theory) (53C05) Affine differential geometry (53A15)

Related Items (13)

A classification of locally homogeneous connections on 2-dimensional manifolds ⋮ Moduli spaces of oriented Type A manifolds of dimension at least 3 ⋮ The moduli space of type \(\mathcal{A}\) surfaces with torsion and non-singular symmetric Ricci tensor ⋮ Applications of PDEs to the study of affine surface geometry ⋮ Geodesic completeness for type \(\mathcal{A}\) surfaces ⋮ On distinguished local coordinates for locally homogeneous affine surfaces ⋮ A classification of locally homogeneous affine connections on compact surfaces ⋮ Homogeneous affine surfaces: affine Killing vector fields and gradient Ricci solitons ⋮ Projectively flat surfaces, null parallel distributions, and conformally symmetric manifolds ⋮ Locally homogeneous rigid geometric structures on surfaces ⋮ Spaces of locally homogeneous affine surfaces ⋮ Homogeneous affine surfaces: moduli spaces ⋮ QUASIHOMOGENEOUS ANALYTIC AFFINE CONNECTIONS ON SURFACES

Cites Work

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• The Gauss-Bonnet theorem for 2-dimensional spacetimes
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• On locally homogeneous \(G\)-structures
• Affine versions of Singer's theorem on locally homogeneous spaces
• A classification of locally homogeneous affine connections with skew-symmetric Ricci tensor on 2-dimensional manifolds
• A classification of locally homogeneous connections on 2-dimensional manifolds
• On the existence of a connection with curvature zero
• On Automorphisms of A Kählerian Structure
• On curvature homogeneous and locally homogeneous affine connections

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