The rigidity of embedded constant mean curvature surfaces

William H. Meeks, Giuseppe Tinaglia

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

In this paper, we prove rigidity of certain complete surfaces embedded in R-3 with constant mean curvature. We also show that for certain complete surfaces embedded in R-3 with constant mean curvature, intrinsic isometries extend to isometries of R-3 or the isometry group contains an index two subgroup of isometries that extend.

Original languageEnglish
Pages (from-to)181-190
Number of pages10
JournalJournal fur die Reine und Angewandte Mathematik
Volume660
Issue number660
DOIs
Publication statusPublished - Apr 2011

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