On Locally Nonhomogeneous Pseudo–Riemannian Manifolds with Locally Homogeneous Levi–Civita Connections

DOI10.1142/S0129167X03001971zbMath1061.53049OpenAlexW2137291459WikidataQ115246545 ScholiaQ115246545MaRDI QIDQ4474435

Barbara Opozda, Zdeněk Vlášek, Oldřich Kowalski

Publication date: 12 July 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x03001971

zbMATH Keywords

Killing vector fieldnonhomogeneous Riemannian manifoldhomogeneous affine connection

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Linear and affine connections (53B05)

Related Items (10)

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 ⋮ Homogeneous affine surfaces: affine Killing vector fields and gradient Ricci solitons ⋮ Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds ⋮ Homogeneous affine surfaces: moduli spaces ⋮ Unnamed Item

Cites Work

• A classification of locally homogeneous affine connections with skew-symmetric Ricci tensor on 2-dimensional manifolds
• On homogeneous manifolds of negative curvature
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• Unnamed Item

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