en>Creidieki: /* Basic properties */ note that rot_G is an involution

2012-05-02T22:13:59Z

Basic properties: note that rot_G is an involution

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In [[differential geometry]], a '''Wente torus''' is an [[immersion (mathematics)|immersed]] [[torus]] in <math>\mathbb{R}^3</math> of constant [[mean curvature]], discovered by {{harvs|first=Henry C.|last=Wente|authorlink=Henry C. Wente|year=1984|txt}}. It is a counterexample to the conjecture if [[Heinz Hopf]] that every [[closed manifold|closed]], [[compact space|compact]], [[constant-mean-curvature surface]] is a [[sphere]] (though this is true if the surface is [[embedding|embedded]]). There are similar examples known for every positive [[genus (mathematics)|genus]].

==References==
*{{Citation | last1=Wente | first1=Henry C. | authorlink = Henry C. Wente | title=Counterexample to a conjecture of H. Hopf. | url=http://projecteuclid.org/euclid.pjm/1102702809 | year=1986 | journal=[[Pacific Journal of Mathematics]] | volume=121 | pages=193–243 | mr = 0815044}}
*[http://www.math.utoledo.edu/wente_torus.html The Wente torus], University of Toledo Mathematics Department, retrieved 2013-09-01.

{{DEFAULTSORT:Wente Torus}}
[[Category:Differential geometry of surfaces]]

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en>Creidieki: /* Basic properties */ note that rot_G is an involution