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arXiv · 1708.02211

The regularity of parametrized integer stationary varifolds in two dimensions

Alessandro Pigati·Tristan Rivière
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Abstract

We establish an optimal regularity result for parametrized two-dimensional stationary varifolds. Namely, we show that the parametrization map is a smooth minimal branched immersion and that the multiplicity function is constant. We provide some applications of this regularity result, especially in the calculus of variations for the area functional.

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Alessandro Pigati, Tristan Rivière. 2017-08-07. The regularity of parametrized integer stationary varifolds in two dimensions. https://arxiv.org/abs/1708.02211

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