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December 2013 Surfaces with Constant Chebyshev Angle II
Armando M. V. CORRO, Carlos M. C. RIVEROS
Tokyo J. Math. 36(2): 379-386 (December 2013). DOI: 10.3836/tjm/1391177977

Abstract

In this paper we classify a class of surfaces with negative Gaussian curvature parametrized by a generalized Chebyshev net with constant Chebyshev angle in the Euclidean 3-space. As an application we obtain for each constant Chebyshev angle a seven-parameter family of complete surfaces.

Citation

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Armando M. V. CORRO. Carlos M. C. RIVEROS. "Surfaces with Constant Chebyshev Angle II." Tokyo J. Math. 36 (2) 379 - 386, December 2013. https://doi.org/10.3836/tjm/1391177977

Information

Published: December 2013
First available in Project Euclid: 31 January 2014

zbMATH: 1294.30092
MathSciNet: MR3161564
Digital Object Identifier: 10.3836/tjm/1391177977

Subjects:
Primary: 30D30
Secondary: 35C99, 53A10

Rights: Copyright © 2013 Publication Committee for the Tokyo Journal of Mathematics

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Vol.36 • No. 2 • December 2013
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