Open Access
2013 MINIMAL TRANSLATION SURFACES IN $\mathbb{H}^2 \times \mathbb{R}$
D. W. Yoon
Taiwanese J. Math. 17(5): 1545-1556 (2013). DOI: 10.11650/tjm.17.2013.2425

Abstract

In this paper, we define translation surfaces in the Riemannian product space $\mathbb{H}^2 \times \mathbb{R}$ and completely classify minimal translation surfaces in $\mathbb{H}^2 \times \mathbb{R}$.

Citation

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D. W. Yoon. "MINIMAL TRANSLATION SURFACES IN $\mathbb{H}^2 \times \mathbb{R}$." Taiwanese J. Math. 17 (5) 1545 - 1556, 2013. https://doi.org/10.11650/tjm.17.2013.2425

Information

Published: 2013
First available in Project Euclid: 10 July 2017

zbMATH: 1278.53066
MathSciNet: MR3106029
Digital Object Identifier: 10.11650/tjm.17.2013.2425

Subjects:
Primary: 53A10 , 53C30

Keywords: minimal surface , Riemannian product space , translation surface

Rights: Copyright © 2013 The Mathematical Society of the Republic of China

Vol.17 • No. 5 • 2013
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