Open Access
2018 Parallel mean curvature tori in $\mathbb{C}P^{2}$ and $\mathbb{C}H^{2}$
Katsuei Kenmotsu
Tohoku Math. J. (2) 70(3): 475-485 (2018). DOI: 10.2748/tmj/1537495357

Abstract

We explicitly determine tori that have a parallel mean curvature vector, both in the complex projective plane and the complex hyperbolic plane.

Citation

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Katsuei Kenmotsu. "Parallel mean curvature tori in $\mathbb{C}P^{2}$ and $\mathbb{C}H^{2}$." Tohoku Math. J. (2) 70 (3) 475 - 485, 2018. https://doi.org/10.2748/tmj/1537495357

Information

Published: 2018
First available in Project Euclid: 21 September 2018

zbMATH: 06996538
MathSciNet: MR3856777
Digital Object Identifier: 10.2748/tmj/1537495357

Subjects:
Primary: 53C42
Secondary: 53C55

Keywords: constant mean curvature surfaces in complex space forms , Parallel mean curvature vector

Rights: Copyright © 2018 Tohoku University

Vol.70 • No. 3 • 2018
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