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

Ana Menezes

doi:10.1307/mmj/1417799220

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

Ana Menezes

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English (US)
Pages (from-to)	675-685
Number of pages	11
Journal	Michigan Mathematical Journal
Volume	63
Issue number	4
DOIs	https://doi.org/10.1307/mmj/1417799220
State	Published - Dec 1 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1307/mmj/1417799220

Cite this

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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.",

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AB - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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