Higher order Codazzi tensors on conformally flat spaces.
Homogeneous affine hypersurfaces with rank one shape operators.
Homogeneous parabolic surfaces in .
Homogeneous surfaces in the equiaffine space R⁴
Hypersurfaces with almost complex structures in the real affine space
We study affine hypersurface immersions , where M is an almost complex n-dimensional manifold. The main purpose is to give a condition for (M,J) to be a special Kähler manifold with respect to the Levi-Civita connection of an affine fundamental form.
Hypersurfaces with constant inner curvature of the second fundamental form, and the non-rigidity of the sphere.
Hypersurfaces with parallel affine curvature tensor R*
In [OV] we introduced an affine curvature tensor R*. Using it we characterized some types of hypersurfaces in the affine space . In this paper we study hypersurfaces for which R* is parallel relative to the induced connection.