Index theorems for symplectic systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 5, 2001, Pages 3031-3046

  Piccione, P ^a,b   Tausk, D V ^a,b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b NONE

Author keywords

Geodesics; Hamiltonian Systems; Maslov Index; Spectral Index

Indexed keywords

COMPUTATIONAL COMPLEXITY; DIFFERENTIAL EQUATIONS; GEODESY; HAMILTONIANS; LINEARIZATION; MATHEMATICAL OPERATORS; THEOREM PROVING;

LINEARIZED HAMILTON EQUATION; MASLOV INDEX; SEMI-RIEMANNIAN THEORY;

NONLINEAR EQUATIONS;

EID: 0035418823     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00423-0     Document Type: Article

References (12)

1. Characteristic class entering in quantization conditions
2. Morse-type index theory for flows and periodic solutions for hamiltonian equations
3. On the morse index in variational calculus
4. A generalized index theorem for Morse-Sturm systems and applications to semi-Riemannian geometry
5. Conjugate points on spacelike geodesics or pseudo-self-adjoint Morse-Sturm-Liouville systems
6. A note on the morse index theorem for geodesics between submanifolds in semi-Riemannian geometry