Harmonic 2-spheres with r pairs of extra eigenfunctions

Motoko Kotani

doi:10.1090/s0002-9939-97-03771-4

Harmonic 2-spheres with r pairs of extra eigenfunctions

Motoko Kotani

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Abstract

In the present paper, deformations of harmonic 2-spheres in the unit n-sphere Sⁿ respecting the degree are studied. The limit maps of such deformations are characterized as harmonic maps with extra eigenfunctions. The space Harm_d(s², Sⁿ) of harmonic 2-spheres in Sⁿ with fixed degree d is described in terms of such deformations and the limit maps.

Original language	English
Pages (from-to)	2083-2092
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	125
Issue number	7
DOIs	https://doi.org/10.1090/s0002-9939-97-03771-4
Publication status	Published - 1997

Keywords

Extra eigenfunctions
Harmonic 2-spheres
Null curves

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10.1090/s0002-9939-97-03771-4

Cite this

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abstract = "In the present paper, deformations of harmonic 2-spheres in the unit n-sphere Sn respecting the degree are studied. The limit maps of such deformations are characterized as harmonic maps with extra eigenfunctions. The space Harmd(s2, Sn) of harmonic 2-spheres in Sn with fixed degree d is described in terms of such deformations and the limit maps.",

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N2 - In the present paper, deformations of harmonic 2-spheres in the unit n-sphere Sn respecting the degree are studied. The limit maps of such deformations are characterized as harmonic maps with extra eigenfunctions. The space Harmd(s2, Sn) of harmonic 2-spheres in Sn with fixed degree d is described in terms of such deformations and the limit maps.

AB - In the present paper, deformations of harmonic 2-spheres in the unit n-sphere Sn respecting the degree are studied. The limit maps of such deformations are characterized as harmonic maps with extra eigenfunctions. The space Harmd(s2, Sn) of harmonic 2-spheres in Sn with fixed degree d is described in terms of such deformations and the limit maps.

KW - Extra eigenfunctions

KW - Harmonic 2-spheres

KW - Null curves

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EP - 2092

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 7

ER -

Harmonic 2-spheres with r pairs of extra eigenfunctions

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Keywords

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