A classification of locally homogeneous connections on 2-dimensional manifolds
type: Item
instance of: scholarly article
title: A classification of locally homogeneous connections on 2-dimensional manifolds
zbMATH Open document ID: 1063.53024
author: Barbara Opozda
published in: Differential Geometry and its Applications
publication date: 2004-08-16T00:00:00Z
review text: In this very interesting paper, the author classifies (in appropriate coordinate systems) all torsion-free locally homogeneous connections on 2-dimensional manifolds: Levi-Civita connections of metrics with constant curvature; connections with constant coefficients; connections of a special type, with a kind of asymptotic flatness of the coefficients.
reviewed by: Gabriel Teodor Pripoae
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 2091335
zbMATH Keywords: 2-dimensional manifolds
zbMATH Keywords: locally homogeneous connections
zbMATH Keywords: torsion-free connections
Wikidata QID: Q115358057
MaRDI profile type: Publication
full work available at URL: j.difgeo.2004.03.005
OpenAlex ID: W2109569351
cites work: Q4846450
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cites work: On Locally Nonhomogeneous Pseudo–Riemannian Manifolds with Locally Homogeneous Levi–Civita Connections
cites work: Q5488105
cites work: Q4849745
cites work: On curvature homogeneous and locally homogeneous affine connections
cites work: Affine versions of Singer's theorem on locally homogeneous spaces
cites work: Locally homogeneous affine connections on compact surfaces
cites work: Infinitesimally homogeneous spaces
DOI: 10.1016/J.DIFGEO.2004.03.005
description: scientific article; zbMATH DE number 2091335