Open Access
July, 2012 Minimal translation surfaces in Sol3
Rafael LÓPEZ, Marian Ioan MUNTEANU
J. Math. Soc. Japan 64(3): 985-1003 (July, 2012). DOI: 10.2969/jmsj/06430985

Abstract

In the homogeneous space Sol3, a translation surface is parametrized by x(s,t) = α(s) ∗ β(t), where α and β are curves contained in coordinate planes and ∗ denotes the group operation of Sol3. In this paper we study translation surfaces in Sol3 whose mean curvature vanishes.

Citation

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Rafael LÓPEZ. Marian Ioan MUNTEANU. "Minimal translation surfaces in Sol3." J. Math. Soc. Japan 64 (3) 985 - 1003, July, 2012. https://doi.org/10.2969/jmsj/06430985

Information

Published: July, 2012
First available in Project Euclid: 24 July 2012

zbMATH: 1254.53033
MathSciNet: MR2965436
Digital Object Identifier: 10.2969/jmsj/06430985

Subjects:
Primary: 53B25

Keywords: homogeneous space , minimal surface , translation surface

Rights: Copyright © 2012 Mathematical Society of Japan

Vol.64 • No. 3 • July, 2012
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