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On the isometry of surfaces preserving the lines of curvature

Published online by Cambridge University Press:  17 April 2009

Wenmao Yang
Wenmao Yang
Affiliation:
Department of Mathematics, The University of Melbourne Parkville, Vic. 3052, Australia
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Abstract

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In this paper we study the isometric deformations of surfaces in E3, which preserve the lines of curvature. We call a surface M and LC-surface if it admits a non-trivial deformation of this type. We distinguish three types of LC-surfaces, and obtain some new results about these three types of surfaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 2 , October 1990 , pp. 231 - 245
Copyright
Copyright © Australian Mathematical Society 1990

References

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