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arxiv: 1106.4979 · v1 · pith:5FBWIQFAnew · submitted 2011-06-24 · 🧮 math.DG

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

classification 🧮 math.DG
keywords affinehypersurfacespointwiseadmittingaroundarticleaxisclassification
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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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