Vol. 253, No. 1, 2011

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Embedded constant-curvature curves on convex surfaces

Harold Rosenberg and Matthias Schneider

Vol. 253 (2011), No. 1, 213–219
Abstract

We prove the existence of embedded closed constant-curvature curves on convex surfaces.

Keywords
prescribed geodesic curvature
Mathematical Subject Classification 2010
Primary: 53C42
Secondary: 37J45, 58E10
Milestones
Received: 8 June 2011
Accepted: 15 August 2011
Published: 28 November 2011
Authors
Harold Rosenberg
Instituto de Matemática Pura e Aplicada
110 Estrada Dona Castorina
22460-320 Rio de Janeiro
Brazil
Matthias Schneider
Mathematisches Institut
Ruprecht-Karls-Universität
Im Neuenheimer Feld 288
D-69120 Heidelberg
Germany