Wente torus

In differential geometry, a Wente torus is an immersed torus in ${ℝ}^3$ of constant mean curvature, discovered by Template:Harvs. It is a counterexample to the conjecture of Heinz Hopf that every closed, compact, constant-mean-curvature surface is a sphere (though this is true if the surface is embedded). There are similar examples known for every positive genus.

References

• Template:Citation
• The Wente torus, University of Toledo Mathematics Department, retrieved 2013-09-01.

External links

• Visualization of the Wente torus