Liebmann's theorem: Difference between revisions
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==Statement== | ==Statement== | ||
Any regular surface embedded in <math>\R^3</math>, which is an ovaloid (in the sense that it is differentiable, closed and convex) and has constant mean curvature, must be a sphere. | Any regular surface embedded in <math>\R^3</math>, which is an ovaloid (in the sense that it is differentiable, closed and convex) and has constant [[mean curvature]], must be a sphere. | ||
==Related results== | ==Related results== | ||
Revision as of 00:49, 8 July 2007
This result is about manifolds in dimension:2
Statement
Any regular surface embedded in , which is an ovaloid (in the sense that it is differentiable, closed and convex) and has constant mean curvature, must be a sphere.