Bulletin of the London Mathematical Society



ON EIGENMAPS BETWEEN SPHERES 1


HUIXIA HE a1, HUI MA a2 and FENG XU a3
a1 Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China hehx00@mails.tsinghua.edu.cn
a2 Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China hma@math.tsinghua.edu.cn
a3 Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China xufeng00@mails.tsinghua.edu.cn

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.

(Received October 5 2001)
(Revised May 21 2002)

Maths Classification

58E20.



Footnotes

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