Abstract view

# Geometric Meaning of Isoparametric Hypersurfaces in a Real Space Form

Published:2000-03-01
Printed: Mar 2000
• Makoto Kimura
We shall provide a characterization of all isoparametric hypersurfaces $M$'s in a real space form $\tilde{M}(c)$ by observing the extrinsic Wshape of geodesics of $M$ in the ambient manifold $\tilde{M}(c)$.