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Bott formula of the
Maslov-type index theory
Yiming Long |
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Vol. 187 (1999), No. 1, 113–149
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Abstract |
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In this paper the integer valued ω-index theory parameterized by all ω on the unit circle for paths in the symplectic group Sp(2n) is established. Based on this index theory, the Bott formula of the Maslov-type index theory for iterated paths in Sp(2n) is estalished, the mean index for periodic solutions of Hamiltonian systems is defined, and the increasing estimate of the iterated Maslov-type index in terms of the mean index is proved. |
Milestones
Received: 25 August 1997
Revised: 14 December 1997
Published: 1 January 1999
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Authors |
| Yiming Long | |
| Nankai Institute of
Mathematics Nankai University Tianjin 300071 People’s Republic of China |
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