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Concentration of \(CMC\) surfaces in a 3-manifold. (English) Zbl 1271.53057

The author proves that simply connected \(H\)-surfaces with small diameter in a \(3\)-manifold necessarily concentrate at a critical point of the scalar curvature.

MSC:

53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
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