On false branch points of incompressible branched immersions

Robert Gulliver, Friedrich Tomi

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We prove that a branched immersion of a surface with boundary into a differentiable manifold has no false branch points (in fact, no ramified points) if the immersion induces an isomorphism of fundamental groups and some other natural hypotheses are satisfied. This result has immediate applications to Plateau's problem.

Original languageEnglish (US)
Pages (from-to)293-302
Number of pages10
JournalManuscripta Mathematica
Volume63
Issue number3
DOIs
StatePublished - Sep 1 1989

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