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July 2018 Constant negative Gaussian curvature tori and their singularities
Tatsumasa Ura
Tsukuba J. Math. 42(1): 65-95 (July 2018). DOI: 10.21099/tkbjm/1541559651

Abstract

We construct constant negative Gaussian curvature tori with one family of planar curvature lines in Euclidean 3-space. We show that these tori are wave fronts. The singularities of these tori are studied.

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Tatsumasa Ura. "Constant negative Gaussian curvature tori and their singularities." Tsukuba J. Math. 42 (1) 65 - 95, July 2018. https://doi.org/10.21099/tkbjm/1541559651

Information

Received: 23 February 2018; Revised: 12 July 2018; Published: July 2018
First available in Project Euclid: 7 November 2018

zbMATH: 07055225
MathSciNet: MR3873532
Digital Object Identifier: 10.21099/tkbjm/1541559651

Subjects:
Primary: 53A05
Secondary: 35L70, 57R45

Rights: Copyright © 2018 University of Tsukuba, Institute of Mathematics

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Vol.42 • No. 1 • July 2018
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