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龙以明, Yiming Long,
This paper is published in Advances in Math.Vol. 154 (2000) 76-131.,-0001,():
-1年11月30日
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【期刊论文】Bott formula of the Maslov-type index theory
龙以明, Yiming Long*
This paper is published in Pacific J.Math. Vol. 187 (1999), 113-149.,-0001,():
-1年11月30日
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 Malsov-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.
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