On realization of tangent cones of homologically area-minimizing compact singular submanifolds
classification
🧮 math.DG
keywords
area-minimizingcompactconeeveryhomologicallysingulartangentcones
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We show that every area-minimizing hypercone and every oriented Lawlor cone in [Law91] can be realized as a tangent cone at a point of some homologically area-minimizing singular compact submanifold. In particular this generalizes the result of N. Smale [Sma99].
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