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arXiv · 1502.03004

On realization of tangent cones of homologically area-minimizing compact singular submanifolds

Yongsheng Zhang
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Abstract

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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Yongsheng Zhang. 2015-12-01. On realization of tangent cones of homologically area-minimizing compact singular submanifolds. https://arxiv.org/abs/1502.03004

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