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.
Main Author: | |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2002-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/S1085337502203036 |
Summary: | 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. |
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ISSN: | 1085-3375 1687-0409 |