Author(s) :
Tsasa Lusala
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 678-2000
MSC 2000
- 53A15 Affine differential geometry
Abstract :
In Euclidean space $\R^{n+2}$ we study the intersections of central quadrics with spheres where we consider the intersections as hypersurfaces in $\S^{n+1}(1)$. It is our aim to
characterize such intersections within the class of all hypersurfaces in $\S^{n+1}(1)$ with Weingarten operator of maximal rank. The methods we use are similar to methods from
affine hypersurface theory.
Keywords :
Quadrics, polar pairs, isoparametric hypersurfaces