On hypersurfaces of S^2×S^2 [article]

Francisco Urbano
2016 arXiv   pre-print
We classify the homogeneous and isoparametric hypersurfaces of S^2×S^2. In the classification, besides the hypersurfaces S^1(r)×S^2, r∈ (0,1], it appears a family of hypersurfaces with three different constant principal curvatures and zero Gauss-Kronecker curvature. Also we classify the hypersurfaces of S^2×S^2 with at most two constant principal curvatures and, under certain conditions, with three constant principal curvatures.
arXiv:1606.07595v1 fatcat:kitscyn5cvbgjgkkynda3t4opy