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ON EIGENMAPS BETWEEN SPHERES

Published online by Cambridge University Press:  12 May 2003

HUIXIA HE
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, [email protected]
HUI MA
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, [email protected]
FENG XU
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, [email protected]
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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

Type
Research Article
Copyright
© The London Mathematical Society 2003

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Footnotes

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