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arxiv: 1711.05682 · v1 · pith:XHUGHHYWnew · submitted 2017-11-15 · 🧮 math.DG

The Gauss map of a free boundary minimal surface

classification 🧮 math.DG
keywords gausssurfaceboundaryfreeminimalassertscomponentseigenfunctions
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In this paper, we study the Gauss map of a free boundary minimal surface. The main theorem asserts that if components of the Gauss map are eigenfunctions of the Jacobi-Steklov operator, then the surface must be rotationally symmetric.

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