Tohoku Mathematical Journal
2018
September
SECOND SERIES VOL. 70, NO. 3

Tohoku Math. J.
70 (2018), 475-485

Title PARALLEL MEAN CURVATURE TORI IN $\MATHBB{C}P^{2}$ AND $\MATHBB{C}H^{2}$

Author Katsuei Kenmotsu

(Received October 21, 2015, revised June 17, 2016)
Abstract. We explicitly determine tori that have a parallel mean curvature vector, both in the complex projective plane and the complex hyperbolic plane.

Mathematics Subject Classification. Primary 53C42; Secondary 53C55.
Key words and phrases. Parallel mean curvature vector, constant mean curvature surfaces in complex space forms.

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