Affine hypersurfaces admitting a pointwise SO(n-1) symmetry

Details Affine hypersurfaces admitting a pointwise SO(n-1) symmetry Affine hypersurfaces admitting a pointwise SO(n-1) symmetry

2011-06-24

arxiv.org/abs/1106.4979v1

Mathematics

Differential Geometry

17 pages

Scientific paper

In this article we obtain a classification of strictly locally convex affine
hypersurfaces in A^{n+1} for which the geometrical structure is pointwise
invariant under the group SO(n-1) represented by rotations around a fixed axis
in the tangent space.

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