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Intuition for mean curvature.

I would like to get some intuitive feeling for the mean curvature. The mean curvature of a hypersurface in a Riemannian manifold by definition is the trace of the second fundamental form. Is

Is there any good picture to have in mind, when dealing with it?

Intuition for mean curvature.

I would like to get some intuitive feeling for the mean curvature. The mean curvature of a hypersurface in a Riemannian manifold by definition is the trace of the second fundamental form. Is there any good picture to have in mind, when dealing with it?

Intuition for mean curvature

I would like to get some intuitive feeling for the mean curvature. The mean curvature of a hypersurface in a Riemannian manifold by definition is the trace of the second fundamental form.

Is there any good picture to have in mind, when dealing with it?

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nicolas
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Intuition for mean curvature.

I would like to get some intuitive feeling for the mean curvature. The mean curvature of a hypersurface in a Riemannian manifold by definition is the trace of the second fundamental form. Is there any good picture to have in mind, when dealing with it?