Abstract
We study hypersurfaces in Euclidean, hyperbolic or Lorentz-Minkowski space with the property that it is foliated by a one-parameter family of round spheres. We describe partially such hypersurfaces with some assumption on its curvature. In general, we shall consider the situation that the mean curvature or the Gaussian curvature is constant.
Information
Published: 1 January 2002
First available in Project Euclid: 31 December 2018
zbMATH: 1026.53034
MathSciNet: MR1925739
Digital Object Identifier: 10.2969/aspm/03410185
Subjects:
Primary:
53A10
Secondary:
53C42
Rights: Copyright © 2002 Mathematical Society of Japan
