Topological Structures of ω-subsets in Symplectic Groups

Acta Mathematica Sinica, English Series

Volumn 15, Issue 2, 1999, Pages 255-268

  Long, Yiming ^a  

^a NANKAI UNIVERSITY   (China)

Author keywords

subsets; Symplectic groups; Toplogical structure

Indexed keywords

EID: 0000381063     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

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3. Y Long. The Index Theory of Hamiltonian Systems with Applications, (In Chinese). Beijing: Science Press, 1993
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5. Y Long. The structure of the singular symplectic matrix set. Science in China (Scientia Sinica), Series A, 1991, 5: 457-165, (Chinese edition), 1991, 34: 897-907 (English edition)
6. C Conley, E Zehnder. Morse-type index theory for flows and periodic solutions for Hamiltonian equations. Comm Pure Appl Math, 1984, 37: 207-253
7. Y Long, E Zehnder. Morse theory for forced oscillations of asymptotically linear Hamiltonian systems. In Stoc Proc Phys and Geom, S Albeverio et al ed World Sci, 1990, 528-563
8. D Salamon, E Zehnder. Morse theory for periodic solutions of Hamiltonian systems and the Maslov index. Comm Pure and Appl Math, 1992, 45: 1303-1360
9. Y Long. A Maslov-type index theory for symplectic paths. Nankai Inst of Math Nankai Univ Preprint, 1997, Top Meth Nonl Anal, 1997, 10: 47-78
10. Y Long, D Dong. Normal forms of symplectic matrices. Research Report, Nankai Inst of Math, Nankai Univ, 1995, Acta Math. Sinica, to appear.