Bulletin of the Belgian Mathematical Society - Simon Stevin

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

Makoto Sakaki

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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

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

First available in Project Euclid: 20 March 2015

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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]

minimal surface product space curvature ellipse


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

Export citation