Minimal immersed manifold: Difference between revisions
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{{Riemannian metric property}} | {{Riemannian metric property}} | ||
{zeroproperty|[[Mean curvature]]}} | |||
==Definition== | ==Definition== | ||
Revision as of 19:18, 22 May 2007
This article defines a property that makes sense for a Riemannian metric over a differential manifold
{zeroproperty|Mean curvature}}
Definition
Symbol-free definition
A Riemannian manifold (viz a differential manifold equipped with a Riemannian metric) is termed a minimal manifold if the mean curvature of the manifold is zero at all points. This is a generalization to the manifold setting of the notion of a minimal surface.