A half-space theorem for ideal Scherk graphs in M ×

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Abstract

We prove a half-space theorem for an ideal Scherk graph Σ ⊂ M × over a polygonal domain D ⊂ M, where M is a Hadamard surface whose curvature is bounded above by a negative constant. More precisely, we show that a properly immersed minimal surface contained in D × and disjoint from Σ is a translate of Σ.

Original languageEnglish (US)
Pages (from-to)675-685
Number of pages11
JournalMichigan Mathematical Journal
Volume63
Issue number4
DOIs
StatePublished - Dec 1 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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