| Projects
and Fields of Interest |
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Harmonic Maps and
Minimal Immersions;
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Computer Graphics;
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Science
Vision Project
|
| Publications |
|
| Books |
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Glimpses of
Algebra and Geometry, Second Edition, Springer Verlag, New York, 2002
(First Edition,
1997; Japanese translation by Y. Kanie, Springer Tokyo, 2000);
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Finite Moebius
Groups, Minimal Immersions of Spheres, and Moduli, Springer Verlag,
New York, 2001;
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Harmonic maps
and minimal immersions through representation theory, Academic Press,
Boston, 1990;
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Harmonic and
Minimal Maps with Applications in Geometry and Physics, Halsted Press,
John Wiley & Sons, New York, 1984
|
| Selected
Research Articles |
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Moduli for
spherical maps and minimal immersions of homogeneous spaces, Journal
of Lie Theory (2002)
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Infinitesimal
rotations of isometric minimal immersions between spheres, Amer. J.
Math. 122 (2000) 117-152.
-
(with W. Ziller)
Spherical minimal immersions of the 3-sphere, Comment. Math. Helvetici
74 (1999) 1-34.
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Universal constraints
on the range of eigenmaps and spherical minimal immersions, Trans.
Amer. Math. Soc. Vol. 351, No. 4 (1999) 1423-1443.
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(with H. Gauchman)
Fine structure of the space of spherical minimal immersions, Trans.
Amer. Math. Soc. Vol. 342, No. 6 (1996) 2551-2563.
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Eigenmaps and
the space of minimal immersions between spheres, Indiana Univ. Math.
J. Vol. 43, No. 4 (1994).
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Rigidity of
minimal submanifolds in terms of higher fundamental forms, Michigan
Math. J. Vol. 40 (1993) 493-506.
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Classification
of quadratic harmonic maps of S^3 into spheres, Indiana Univ. Math.
J. Vol. 36, No. 2 (1987).
-
Operators on
eigenmaps between spheres, Compositio Math. 88 (1993) 317-322.
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