A characterization of Moebius isoparametric hypersurfaces of the sphere

作者：Rodrigues L A^*; Tenenblat K

来源：Monatshefte fur Mathematik, 2009, 158(3): 321-327.

DOI：10.1007/s00605-008-0086-7

• Moebius isoparametric hypersurfaces
• Dupin hypersurfaces
• Constant Moebius curvature

We consider a proper, umbilic-free immersion of an n-dimensional manifold M in the sphere Sn 1. We show that M is a Moebius isoparametric hypersurface if, and only if, it is a cyclide of Dupin or a Dupin hypersurface with constant Moebius curvature.

• 出版日期2009-11