Transactions of the American Mathematical Society

Universal constraints on the range of eigenmaps and spherical minimal immersions

Author(s): Gabor Toth
Journal: Trans. Amer. Math. Soc. 351 (1999), 1423-1443.
MSC (1991): Primary 53C42
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Abstract: The purpose of this paper is to give lower estimates on the range dimension of spherical minimal immersions in various settings. The estimates are obtained by showing that infinitesimal isometric deformations (with respect to a compact Lie group acting transitively on the domain) of spherical minimal immersions give rise to a contraction on the moduli space of the immersions and a suitable power of the contraction brings all boundary points into the interior of the moduli space.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 53C42

Gabor Toth
Affiliation: Department of Mathematics, Rutgers University, Camden, New Jersey 08102
Email: gtoth@crab.rutgers.edu

DOI: 10.1090/S0002-9947-99-02252-7
PII: S 0002-9947(99)02252-7
Received by editor(s): April 20, 1997
Copyright of article: Copyright 1999, American Mathematical Society

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