Moment maps on symplectic cones

Pacific Journal of Mathematics

Volumn 181, Issue 2, 1997, Pages 357-375

  De Moraes, Suzana Falcão B ^a   Tomei, Carlos ^a  

^a PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012912554     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1997.181.357     Document Type: Article

References (10)

1. R. Abraham and J. Marsden, Foundations of mechanics, Benjamin, 1978, Reading, MA.
2. M.F. Atiyah, Convexity and commuting Hamiltonians, Bull. London Math. Soc., 14 (1982), 1-15.
3. R. Bott, Nondegenerate critical manifolds, Ann. Math., 60(2) (1959), 248-261.
4. V. Guillemin and S. Sternberg, Convexity properties of the moment mapping, Invent. Math., 67 (1982), 491-513.
5. _, A Normal form for the moment map, Diff. Geom. Methods, (ed. S. Sternberg), Mathematical Physical Studies, Vol. 6, (1984), 161-175, D. Reidel, Boston.
6. _, Symplectic techniques in physics, (1984), Cambridge University Press, Cambridge.
7. E. Lerman, On the centralizer of invariant functions on a Hamiltonian G-space, J. of Diff. Geom., 30 (1989), 805-815.
8. C.M. Marle, Classification des actions hamiltoniennes au voisinage d'une orbite, C. R. Acad. Sci. Paris, Ser. I, Math., 299 (1984) 249-252.
9. G.D. Mostow, On a conjecture of Montgomery, Ann. of Math., 65(2) (1957), 513-516.
10. E. Prato, Convexity properties of the moment map for certain non - compact manifolds, preprint.