A characterization of regular saddle surfaces in the hyperbolic and spherical three-space

We prove that the class of regular saddle surfaces in the hyperbolic or spherical three-space coincides with the class of regular surfaces with curvature not greater than the curvature of the surrounding space. We also show that a similar result for nonregular surfaces is incorrect.

Bibliographic Details
Main Author: Dimitrios E. Kalikakis
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337502203036