Add to ORKGThis paper studies hypersurfaces admitting a locally symmetric connection which is induced by the Gauß conormal map in affine geometry. It is known that the rank of the shape operator is of importance to this topic. In dimension two we give new results for an arbitrary shape operator. In the case of a nondegenerate shape operator hypersurfaces with locally symmetric conormal connection can be treated as semiEuclidean hypersurfaces. Moreover, we study whether and in which way a locally symmetric, projectively flat connection can be realized as the conormal connection of a hypersurface. Keywords: Projectively flat connections, locally symmetric connections. MOS-Classification: 53A15, 53B05, 53C35 0 . Introduction In Euclidean geometry the i...
We examine the local geometry of affine surfaces which are locally symmetric. There are six non-isom...
International audienceWe study locally homogeneous rigid geometric structures on surfaces. We show t...
We describe all invariant affine connections on three-dimensional pseudo-Riemannian homogeneous spac...
This paper studies hypersurfaces admitting a locally symmetric connection which is induced by the Ga...
For every two-dimensional manifold M with locally symmetric linear connection ∇, endowed also with ∇...
For every two-dimensional manifold M with locally symmetric linear connection ∇, endowed also with ∇...
For every two-dimensional manifold M with locally symmetric linear connection nabla, endowed also wi...
We investigate the conormal geometry of relative affine hypersurfaces whose relative metric (Blaschk...
For two-dimensional manifold M with locally symmetric connection ∇ and with ∇-parallel volume elemen...
For two-dimensional manifold M with locally symmetric connection ∇ and with ∇-parallel volume elemen...
This article describes some geometric aspects of a class of affine connections in homogeneous spaces...
ABSTRACT. We classify torsion-free real-analytic affine connections on compact oriented real-analyti...
We examine the local geometry of affine surfaces which are locally symmetric. There are 6 non-isomor...
The aim of this paper is to review and to obtain results about flat locally homogeneous affine conne...
We describe all invariant affine connections on three-dimensional pseudo-Riemannian homogeneous spac...
We examine the local geometry of affine surfaces which are locally symmetric. There are six non-isom...
International audienceWe study locally homogeneous rigid geometric structures on surfaces. We show t...
We describe all invariant affine connections on three-dimensional pseudo-Riemannian homogeneous spac...
This paper studies hypersurfaces admitting a locally symmetric connection which is induced by the Ga...
For every two-dimensional manifold M with locally symmetric linear connection ∇, endowed also with ∇...
For every two-dimensional manifold M with locally symmetric linear connection ∇, endowed also with ∇...
For every two-dimensional manifold M with locally symmetric linear connection nabla, endowed also wi...
We investigate the conormal geometry of relative affine hypersurfaces whose relative metric (Blaschk...
For two-dimensional manifold M with locally symmetric connection ∇ and with ∇-parallel volume elemen...
For two-dimensional manifold M with locally symmetric connection ∇ and with ∇-parallel volume elemen...
This article describes some geometric aspects of a class of affine connections in homogeneous spaces...
ABSTRACT. We classify torsion-free real-analytic affine connections on compact oriented real-analyti...
We examine the local geometry of affine surfaces which are locally symmetric. There are 6 non-isomor...
The aim of this paper is to review and to obtain results about flat locally homogeneous affine conne...
We describe all invariant affine connections on three-dimensional pseudo-Riemannian homogeneous spac...
We examine the local geometry of affine surfaces which are locally symmetric. There are six non-isom...
International audienceWe study locally homogeneous rigid geometric structures on surfaces. We show t...
We describe all invariant affine connections on three-dimensional pseudo-Riemannian homogeneous spac...