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ON EIGENMAPS BETWEEN SPHERES

Published online by Cambridge University Press:  12 May 2003

HUIXIA HE ,
HUI MA  and
FENG XU
HUIXIA HE
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, Chinahehx00@mails.tsinghua.edu.cn
HUI MA
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, Chinahma@math.tsinghua.edu.cn
FENG XU
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, Chinaxufeng00@mails.tsinghua.edu.cn
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Abstract

This paper presents the rigidity of $\lambda_2$-eigenmaps from $S^{4}$ to itself, and the nonexistence of some $\lambda_2$-eigenmaps, as well as new examples of eigenmaps between spheres.

Keywords

58E20
Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 3 , May 2003 , pp. 344 - 354
Copyright
© The London Mathematical Society 2003

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Footnotes

Project partially supported by the Outstanding Youth Foundation of China (No. 19925103).