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The structure of minimal surfaces in CAT(0) spaces

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 نشر من قبل Stephan Stadler
 تاريخ النشر 2018
  مجال البحث
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 تأليف Stephan Stadler




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We prove that a minimal disc in a CAT(0) space is a local embedding away from a finite set of branch points. On the way we establish several basic properties of minimal surfaces: monotonicity of area densities, density bounds, limit theorems and the existence of tangent maps. As an application, we prove Fary-Milnors theorem in the CAT(0) setting.


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