Abstract
We define a relative Morse index of nondegenerate critical points of the symplectic action functional, in the case of paths connecting two Lagrangian submanifolds.
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References
Floer, A., ‘The unregularized gradient flow of the symplectic action’, to appear.
Helgason, S., ‘Differential geometry, Lie groups, and symmetric spaces’, Academic Press, New York, 1978.
Lockhard, R. and Mc Owen, R., ‘Elliptic opertors on manifolds with cylindrical ends’, to appear.
Viterbo, C, ‘Intersection de sous-varietes Lagrangiennes, foncionnelles d’action et indice des systemes Hamiltoniens’, to appear.
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© 1987 D. Reidel Publishing Company
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Floer, A. (1987). Viterbo’s Index and the Morse Index for the Symplectic Action. In: Rabinowitz, P.H., Ambrosetti, A., Ekeland, I., Zehnder, E.J. (eds) Periodic Solutions of Hamiltonian Systems and Related Topics. NATO ASI Series, vol 209. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3933-2_13
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DOI: https://doi.org/10.1007/978-94-009-3933-2_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8245-7
Online ISBN: 978-94-009-3933-2
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