Minimal immersed manifold

This article defines a property that makes sense for a Riemannian metric over a differential manifold

This is the property of the following curvature being everywhere zero: Mean curvature

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.