Geodesic
On Metrizable Locally Homogeneous Connections in Dimension
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 1, pp. 157-166 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

We discuss metrizability of locally homogeneous affine connections on affine 2-manifolds and give some partial answers, using the results from [Arias-Marco, T., Kowalski, O.: Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds. Monatsh. Math. 153 (2008), 1–18.], [Kowalski, O., Opozda, B., Vlášek, Z.: A classification of locally homogeneous connections on 2-dimensional manifolds vis group-theoretical approach. CEJM 2, 1 (2004), 87–102.], [Vanžurová, A.: On metrizability of locally homogeneous affine connections on 2-dimensional manifolds. Arch. Math. (Brno) 49 (2013), 199–209.], [Vanžurová, A., Žáčková, P.: Metrizability of connections on two-manifolds. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 48 (2009), 157–170.].
We discuss metrizability of locally homogeneous affine connections on affine 2-manifolds and give some partial answers, using the results from [Arias-Marco, T., Kowalski, O.: Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds. Monatsh. Math. 153 (2008), 1–18.], [Kowalski, O., Opozda, B., Vlášek, Z.: A classification of locally homogeneous connections on 2-dimensional manifolds vis group-theoretical approach. CEJM 2, 1 (2004), 87–102.], [Vanžurová, A.: On metrizability of locally homogeneous affine connections on 2-dimensional manifolds. Arch. Math. (Brno) 49 (2013), 199–209.], [Vanžurová, A., Žáčková, P.: Metrizability of connections on two-manifolds. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 48 (2009), 157–170.].
Classification : 53B05, 53B20
Keywords: Manifold; affine connection; Riemannian connection; Lorentzian connection; Killing vector field; locally homogeneous space 
@article{AUPO_2016_55_1_a16,
     author = {Van\v{z}urov\'a, Alena},
     title = {On {Metrizable} {Locally} {Homogeneous} {Connections} in {Dimension}},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {157--166},
     year = {2016},
     volume = {55},
     number = {1},
     mrnumber = {3674609},
     zbl = {1372.53016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPO_2016_55_1_a16/}
}
TY  - JOUR
AU  - Vanžurová, Alena
TI  - On Metrizable Locally Homogeneous Connections in Dimension
JO  - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY  - 2016
SP  - 157
EP  - 166
VL  - 55
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AUPO_2016_55_1_a16/
LA  - en
ID  - AUPO_2016_55_1_a16
ER  - 
%0 Journal Article
%A Vanžurová, Alena
%T On Metrizable Locally Homogeneous Connections in Dimension
%J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
%D 2016
%P 157-166
%V 55
%N 1
%U http://geodesic.mathdoc.fr/item/AUPO_2016_55_1_a16/
%G en
%F AUPO_2016_55_1_a16
Vanžurová, Alena. On Metrizable Locally Homogeneous Connections in Dimension. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 1, pp. 157-166. http://geodesic.mathdoc.fr/item/AUPO_2016_55_1_a16/