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

Abstract

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.

Citation

Download Citation

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

Information

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

zbMATH: 1182.53008
MathSciNet: MR2555701

Subjects:
Primary: 53A10
Secondary: 53C43 , 53C50

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

Rights: Copyright © 2009 A K Peters, Ltd.

JOURNAL ARTICLE
13 PAGES


SHARE
Vol.18 • No. 3 • 2009
Back to Top