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march 2015 On the curvature ellipse of minimal surfaces in $N^3(c)\times R$
Makoto Sakaki
Bull. Belg. Math. Soc. Simon Stevin 22(1): 165-172 (march 2015). DOI: 10.36045/bbms/1426856866

Abstract

We discuss the curvature ellipse of minimal surfaces in the product space $N^3(c)\times R$, where $N^3(c)$ is the $3$-dimensional simply connected space form of constant curvature $c$.

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Makoto Sakaki. "On the curvature ellipse of minimal surfaces in $N^3(c)\times R$." Bull. Belg. Math. Soc. Simon Stevin 22 (1) 165 - 172, march 2015. https://doi.org/10.36045/bbms/1426856866

Information

Published: march 2015
First available in Project Euclid: 20 March 2015

zbMATH: 1315.53065
MathSciNet: MR3325729
Digital Object Identifier: 10.36045/bbms/1426856866

Subjects:
Primary: 53A10 , 53B25 , 53C42

Keywords: curvature ellipse , minimal surface , product space

Rights: Copyright © 2015 The Belgian Mathematical Society

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Vol.22 • No. 1 • march 2015
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