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December 2004 On the Periodicity of Planes with Parallel Mean Curvature Vector in C$H^2$
Shinya HIRAKAWA
Tokyo J. Math. 27(2): 519-526 (December 2004). DOI: 10.3836/tjm/1244208405

Abstract

We give a simple criterion for when an isometric immersion from the real two-plane into the two-dimensional complex hyperbolic space with non-zero parallel mean curvature vector is invariant under the action of some lattice of $\mathbf{R}^2$.

Citation

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Shinya HIRAKAWA. "On the Periodicity of Planes with Parallel Mean Curvature Vector in C$H^2$." Tokyo J. Math. 27 (2) 519 - 526, December 2004. https://doi.org/10.3836/tjm/1244208405

Information

Published: December 2004
First available in Project Euclid: 5 June 2009

zbMATH: 1081.53053
MathSciNet: MR2107599
Digital Object Identifier: 10.3836/tjm/1244208405

Rights: Copyright © 2004 Publication Committee for the Tokyo Journal of Mathematics

Vol.27 • No. 2 • December 2004
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