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2009 Constant-Mean-Curvature Surfaces with Singularities in Minkowski 3-Space
Yuhei Umeda
Experiment. Math. 18(3): 311-323 (2009).


We shall investigate spacelike constant-mean-curvature surfaces with singularities in Minkowski 3-space. Recently, Kokubu, Rossman, Saji, Umehara, and Yamada gave useful criteria for cuspidal edges and swallowtails. Applying their criteria, we define a new class of generalized constant-mean-curvature surface and give some examples with cuspidal edges and swallowtails.


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Yuhei Umeda. "Constant-Mean-Curvature Surfaces with Singularities in Minkowski 3-Space." Experiment. Math. 18 (3) 311 - 323, 2009.


Published: 2009
First available in Project Euclid: 25 November 2009

zbMATH: 1182.53008
MathSciNet: MR2555701

Primary: 53A10
Secondary: 53C43 , 53C50

Keywords: CMC surface , cuspidal edge , gauss map , singularity , swallowtail

Rights: Copyright © 2009 A K Peters, Ltd.

Vol.18 • No. 3 • 2009
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