Lorentzian affine hyperspheres with constant affine sectional curvature

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

Indefinite affine hyperspheres admitting a pointwise symmetry

An affine hypersurface M is said to admit a pointwise symmetry, if there exists a subgroup G of Aut(T p M) for all p ∈ M , which preserves (pointwise) the affine metric h, the difference tensor K and the affine shape operator S. Here, we consider 3-dimensional indefinite affine hyperspheres, i. e. S = HId (and thus S is trivially preserved). First we solve an algebraic problem. We determine the...

Scale-spaces and Affine Curvature

We present a new way to compute the aane curvature of plane curves. We explain how an aane scale-space can be used to gain one order of derivation in the numerical approximation of aane curvature. We outline our implementation and compare our results with previous ones. This paper ends by showing a simple application in pattern recognition using aane curvature.

hypersurfaces with constant mean curvature in a lorentzian space form

Ricci curvature of affine connections

We show various examples of torsion-free affine connections which preserve volume elements and have definite Ricci curvature tensors.