Add to ORKGWe examine the local geometry of affine surfaces which are locally symmetric. There are 6 non-isomorphic local geometries. We realize these examples as Type A, Type B, and Type C geometries using a result of Opozda and classify the relevant geometries up to linear isomorphism. We examine the geodesic structures in this context. Particular attention is paid to the Lorentzian analogue of the hyperbolic plane and to the pseudosphere.Instituto de Física La Plat
summary:Classification of locally homogeneous affine connections in two dimensions is a nontrivial p...
AbstractAll torsion-free locally homogeneous connections on 2-dimensional manifolds are described in...
summary:Classification of locally homogeneous affine connections in two dimensions is a nontrivial p...
We examine the local geometry of affine surfaces which are locally symmetric. There are six non-isom...
We study symmetric affine surfaces which have non-vanishing torsion tensor. We give a complete class...
We study symmetric affine surfaces which have non-vanishing torsion tensor. We give a complete class...
We discuss the local differential geometry of convex affine spheres in $\re^3$ and of minimal Lagran...
This paper studies hypersurfaces admitting a locally symmetric connection which is induced by the Ga...
International audienceWe study locally homogeneous rigid geometric structures on surfaces. We show t...
summary:The classical concept of affine locally symmetric spaces allows a generalization for various...
summary:The classical concept of affine locally symmetric spaces allows a generalization for various...
AbstractWe extend results of Radon, Li-Penn and Magid-Ryan and give a local classification of affine...
It is well known that locally strongly convex ane hyperspheres can be determined as solutions of die...
This paper studies hypersurfaces admitting a locally symmetric connection which is induced by the Ga...
In this paper, we study locally strongly convex affine hypersurfaces with vanishing Weyl curvature t...
summary:Classification of locally homogeneous affine connections in two dimensions is a nontrivial p...
AbstractAll torsion-free locally homogeneous connections on 2-dimensional manifolds are described in...
summary:Classification of locally homogeneous affine connections in two dimensions is a nontrivial p...
We examine the local geometry of affine surfaces which are locally symmetric. There are six non-isom...
We study symmetric affine surfaces which have non-vanishing torsion tensor. We give a complete class...
We study symmetric affine surfaces which have non-vanishing torsion tensor. We give a complete class...
We discuss the local differential geometry of convex affine spheres in $\re^3$ and of minimal Lagran...
This paper studies hypersurfaces admitting a locally symmetric connection which is induced by the Ga...
International audienceWe study locally homogeneous rigid geometric structures on surfaces. We show t...
summary:The classical concept of affine locally symmetric spaces allows a generalization for various...
summary:The classical concept of affine locally symmetric spaces allows a generalization for various...
AbstractWe extend results of Radon, Li-Penn and Magid-Ryan and give a local classification of affine...
It is well known that locally strongly convex ane hyperspheres can be determined as solutions of die...
This paper studies hypersurfaces admitting a locally symmetric connection which is induced by the Ga...
In this paper, we study locally strongly convex affine hypersurfaces with vanishing Weyl curvature t...
summary:Classification of locally homogeneous affine connections in two dimensions is a nontrivial p...
AbstractAll torsion-free locally homogeneous connections on 2-dimensional manifolds are described in...
summary:Classification of locally homogeneous affine connections in two dimensions is a nontrivial p...