Open Access
March, 2001 Nonpositively Curved Surfaces in R3
Hsungrow Chan, Andrejs Treibergs
J. Differential Geom. 57(3): 389-407 (March, 2001). DOI: 10.4310/jdg/1090348127

Abstract

We consider complete nonpositively curved surfaces with one end twice continuously differentiably immersed in Euclidean three space. If such a surface is embedded near infinity and has square integrable second fundamental form then it must lie between two parallel planes.

Citation

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Hsungrow Chan. Andrejs Treibergs. "Nonpositively Curved Surfaces in R3." J. Differential Geom. 57 (3) 389 - 407, March, 2001. https://doi.org/10.4310/jdg/1090348127

Information

Published: March, 2001
First available in Project Euclid: 20 July 2004

zbMATH: 1041.53001
MathSciNet: MR1882662
Digital Object Identifier: 10.4310/jdg/1090348127

Rights: Copyright © 2001 Lehigh University

Vol.57 • No. 3 • March, 2001
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