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Schlagwörter:
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Zusammenfassung:
We study the evolution by mean curvature of a smooth n–dimensional
surfaceM Rn+1, compact and with positive mean curvature. We first prove an
estimate on the negative part of the scalar curvature of the surface. Then we apply
this result to study the formation of singularities by rescaling techniques, showing
that there exists a sequence of rescaled flows converging to a smooth limit flow
of surfaces with nonnegative scalar curvature. This gives a classification of the
possible singular behaviour for mean convex surfaces in the case n = 2.
