Wente torus
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In differential geometry, a Wente torus is an immersed torus in [math]\displaystyle{ \mathbb{R}^3 }[/math] of constant mean curvature, discovered by Henry C. Wente (1986). 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
- Wente, Henry C. (1986), "Counterexample to a conjecture of H. Hopf.", Pacific Journal of Mathematics 121: 193–243, doi:10.2140/pjm.1986.121.193, http://projecteuclid.org/euclid.pjm/1102702809
- The Wente torus, University of Toledo Mathematics Department, retrieved 2013-09-01.
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