A characterization of osculating maps
A class of projectively flat surfaces.
A holomorphic representation formula for parabolic hyperspheres
A holomorphic representation formula for special parabolic hyperspheres is given.
A local characterization of affine holomorphic immersions with an anti-complex and ∇-parallel shape operator
We study the complex hypersurfaces which together with their transversal bundles have the property that around any point of M there exists a local section of the transversal bundle inducing a ∇-parallel anti-complex shape operator S. We give a class of examples of such hypersurfaces with an arbitrary rank of S from 1 to [n/2] and show that every such hypersurface with positive type number and S ≠ 0 is locally of this kind, modulo an affine isomorphism of .
A new intrinsic curvature invariant for centroaffine hypersurfaces.
A new model of unimodular-affinely homogeneous surfaces.
A remark on semi-∇-flat functions
We give a pointwise characterization of semi-∇-flat functions on an affine manifold (M,∇).
A specialization of an anholonomial subvarietes system of an -dimensional variety in unimodular -dimensional space
Affine classification of -curves.
Affine deformation of surfaces
Affine differential geometry of surfaces
Affine differential invariants for planar curves.
Affine higher order parallel hypersurfaces
Affine isoparametric hypersurfaces.
Affine isoperimetric problems and surfaces with constant affine mean curvature.
Affine maximal hypersurfaces
This paper is part of the autumn school on "Variational problems and higher order PDEs for affine hypersurfaces". We discuss affine Bernstein problems and complete constant mean curvature surfaces in equiaffine differential geometry.
Affine perimeter and limit shape.
Affine spheres: Discretization via duality relations.
Affine spheres with constant affine sectional cuvature.
Affine surfaces with parallel shape operators
We study affine nondegenerate Blaschke hypersurfaces whose shape operators are parallel with respect to the induced Blaschke connections. We classify such surfaces and thus give an exact classification of extremal locally symmetric surfaces, first described by F. Dillen.