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A symplectic fixed-point theorem for T2k × CPn × CPm

Published online by Cambridge University Press:  14 November 2011

Jianxun Hu
Jianxun Hu
Affiliation:
Department of Mathematics, Lanzhou University, Lanzhou, Gansu Province 730000, P.R. of China
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Extract

In this paper, we use the Lyapunov–Schmidt reduction and the S1 × S1-index which is due to Chenkui Zhong to prove that any exact symplectic diffeomorphisms on T2k × CPn × CPm have at least 1 + min {m, n} fixed points.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 3 , 1995 , pp. 465 - 492
Copyright
Copyright © Royal Society of Edinburgh 1995

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