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龙以明院士出的书籍

作者 cyy__8906
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请问,龙以明院士出版的书籍,除了《index theory  for symplectic paths with applications》,还有什么书?多谢 返回小木虫查看更多

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  • xinmor

    Bott formula of the Maslov-type index theory. 美国 《Pacific J. Math.》187卷 113-149页(1999).
    Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. 美国《Advances in Math.》 154卷, 76-131页 (2000).
    Multiple periodic points of the Poincare map of Lagrangian systems on tori. 德国 《Math. Z.》233卷 443-470页 (2000).
    Closed characteristics on compact convex hypersurfaces in R2n. 美国《Annals of Mathematics》155 卷, 317-368页 (2002).


    [1] Multiple solutions of perturbed superquadratic second order Hamiltonian systems. Trans. Amer. Math. Soc. 311 (1989) 749-780.
    [2] Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems. Science in China. Series A. 33 (1990) 1409-1419.
    [3] Bott formula of the Maslov-type index theory. Pacific J. Math. 187 (1999), 113-149.
    [4] Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. Advances in Math. 154 (2000) 76-131.
    [5] (Joint with Chaofeng Zhu) Closed characteristics on compact convex hypersurfaces in R2n. Annals of Mathematics. 155 (2002). 317-368.
    [6] Index Theory for Symplectic Paths with Applications. Progress in Math. 207, Birkh?user. Basel. 2002.
    [7] Multiplicity and stability of closed geodesics on Finsler 2-spheres. J. of Euro. Math. Soc. 8 (2006) 341-353.
    [8] (Joint with Wei Wang, Xijun Hu) Resonance identity, stability and multiplicity of closed characteristics on compact convex hypersurfaces. Duke Math. J. 139 (2007) 411-462.
    [9] (Joint with Huagui Duan) Multiple closed geodesics on 3-spheres. Advances in Math. 221 (2009) 1757-1803.
    [10] (Joint with Victor Bangert) The existence of two closed geodesics on every Finsler 2-sphere. Math. Ann. 346 (2010) 335-366,

  • cyy__8906

    引用回帖:
    2楼: Originally posted by xinmor at 2013-11-25 19:19:10
    Bott formula of the Maslov-type index theory. 美国 《Pacific J. Math.》187卷 113-149页(1999).
    Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. 美 ...

    这些是文章吧,他出的书呢?有没有中文的书?

  • xinmor

    引用回帖:
    3楼: Originally posted by cyy__8906 at 2013-11-25 19:38:45
    这些是文章吧,他出的书呢?有没有中文的书?...

    Index Theory of Symplectic paths with Applications》(辛道路的指标理论及其应用)于2002年由瑞士著名的Birkhauser出版社出版

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