Affine Hypersurfaces Admitting a Pointwise SO(n-1) Symmetry

作者:Schoels Kristof*
来源:Results in Mathematics, 2013, 63(1-2): 629-648.
DOI:10.1007/s00025-011-0222-x

摘要

In this article we obtain a classification of strictly locally convex affine hypersurfaces in 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. This generalises the results obtained by Lu and Scharlach (Results Math 48:275-300, 2005) for n = 3.

  • 出版日期2013-2