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20022011
most citedIndefinite affine hyperspheres admitting a pointwise symmetry

4 citations · 6 across the 5 of their papers we have counts for

collaborators

6 papers

math.DG2011

Special Lagrangian 4-folds with -Symmetry in Complex Space Forms

Franki Dillen, Christine Scharlach, Kristof Schoels +1

In this article we obtain a classification of special Lagrangian submanifolds in complex space forms subject to an -symmetry on the second fundamental form. The a…

math.DG2009★ 2 cited

Indefinite Affine Hyperspheres Admitting a Pointwise Symmetry. Part 2

Christine Scharlach

An affine hypersurface is said to admit a pointwise symmetry, if there exists a subgroup of for all , which preserves (pointwise) the affine metr…

math.DG2005★ 4 cited

Indefinite affine hyperspheres admitting a pointwise symmetry

Christine Scharlach

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 in M, which preserves (pointwise) the affine metric h, the diff…

math.DG2005

Affine hypersurfaces admitting a pointwise symmetry

Ying Lu, Christine Scharlach

An affine hypersurface is said to admit a pointwise symmetry, if there exists a subgroup of the automorphism group of the tangent space, which preserves (pointwise) the affine metr…

math.DG2003

3-dimensional affine hypersurfaces admitting a pointwise SO(2)- or Z_3-symmetry

Christine Scharlach, Luc Vrancken

In (equi-)affine differential geometry, the most important algebraic invariants are the affine (Blaschke) metric h, the affine shape operator S and the difference tensor K. A hyper…

math.DG2002

Parallel surfaces in affine 4-space

C. Scharlach, L. Vrancken

We study affine immersions as introduced by Nomizu and Pinkall. We classify those affine immersions of a surface in 4-space which are degenerate and have vanishing cubic form (i.e.…