Bulletin of the Belgian Mathematical Society - Simon Stevin

On the curvature ellipse of minimal surfaces in $N^3(c)\times R$

Makoto Sakaki

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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 $c$.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 22, Number 1 (2015), 165-172.

Dates
First available in Project Euclid: 20 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1426856866

Digital Object Identifier
doi:10.36045/bbms/1426856866

Mathematical Reviews number (MathSciNet)
MR3325729

Zentralblatt MATH identifier
1315.53065

Subjects
Primary: 53A10: Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42] 53B25: Local submanifolds [See also 53C40] 53C42: Immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42]

Keywords
minimal surface product space curvature ellipse

Citation

Sakaki, Makoto. On the curvature ellipse of minimal surfaces in $N^3(c)\times R$. Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 1, 165--172. doi:10.36045/bbms/1426856866. https://projecteuclid.org/euclid.bbms/1426856866


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