The structure of minimal surfaces in CAT(0) spaces
نویسندگان
چکیده
We prove that a minimal disc in CAT(0) space is local embedding away from finite set of “branch points”. On the way we establish several basic properties surfaces: monotonicity area densities, density bounds, limit theorems and existence tangent maps. As an application, Fáry–Milnor’s theorem setting.
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2021
ISSN: ['1435-9855', '1435-9863']
DOI: https://doi.org/10.4171/jems/1075