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