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arXiv · 1909.13383

Uniqueness of tangent cones to boundary points of two-dimensional almost-minimizing currents

Jonas Hirsch·Michele Marini
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Abstract

We prove that tangent cones at singular boundary points of a two-dimensional current almost area minimizing are unique. Following the ideas exposed by White in [8], the result is achieved by combining a suitable epiperimetric inequality and an almost-monotonicity formula for the mass at boundary points.

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Jonas Hirsch, Michele Marini. 2019-09-29. Uniqueness of tangent cones to boundary points of two-dimensional almost-minimizing currents. https://arxiv.org/abs/1909.13383

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