A deformation of tori with constant mean curvature in 𝑅³ to those in other space forms

Umehara, Masaaki; Yamada, Kotaro

doi:10.1090/S0002-9947-1992-1050088-2

A deformation of tori with constant mean curvature in $\textbf {R}^ 3$ to those in other space forms
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Trans. Amer. Math. Soc. 330 (1992), 845-857 Request permission

Abstract:

It is shown that tori with constant mean curvature in ${\mathbb {R}^3}$ constructed by Wente $[7]$ can be deformed to tori with constant mean curvature in the hyperbolic $3$-space or the $3$-sphere.

References

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Twisted tori in constant mean curvature in