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: この文書について... : CMCLabの使い方 : CMCLabの数学的背景

参考文献

1
A. I. Bobenko, Constant mean curvature surfaces and integrable equations, Russian Math. Surveys 46:4, 1-45 (1991).

2
A. I. Bobenko, Surfaces in terms of 2 by 2 matrices. Old and new integrable cases , Harmonic maps and integrable systems, 83-127, Aspects Math., E23, Vieweg, Braunschweig, 1994.

3
J. Dorfmeister, F. Pedit and H. Wu, Weierstrass type representation of harmonic maps into symmetric spaces, Comm. Anal. Geom. 6(4) (1998), 633-668.

4
J. Dorfmeister, H. Wu, Construction of constant mean curvature trinoids from holomorphic potentials, preprint.

5
M. A. Guest, Harmonic maps, loop groups, and integrable systems, London Mathematical Society Student Texts 38, Cambridge University Press 1997.

6
M. Kilian, Constant mean curvature cylinders, doctoral thesis, Univ. of Massachusetts (Amherst), U.S.A., September (2000).

7
U. Pinkall and I. Sterling, On the classification of constant mean curvature tori, Annals of Math. 130, 407-451 (1989).

8
A. Pressley and G. Segal, Loop Groups, Oxford Mathematical Monographs, Oxford University Press 1986.

9
N. Schmitt, CMCLab software, Center for Geometry, Analysis, Numerics and Graphics(GANG), University of Massachusetts at Amherst. http://www.gang.umass.edu/cmc/

10
I. Sterling and H. C. Wente, Existence and classification of constant mean curvature multibubbletons of finite and infinite type, Indiana U. Math. J. 42(4), 1239-1266 (1993).



kobayasi 平成14年10月29日