The Maslov index and a generalized Morse index theorem for non-positive definite metrics

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 331, Issue 5, 2000, Pages 385-389

  Piccione, Paolo ^a   Tausk, Daniel V ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034259066     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)01630-X     Document Type: Article

References (7)

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3. [3] Duistermaat J.J., On the Morse index in variational calculus, Adv. in Math. 21 (1976) 173-195.
4. [4] Giannoni F., Masiello A., Piccione P., Tausk D., A generalized index theorem for Morse-Sturm systems and applications to semi-Riemannian geometry, Asian J. Math. (1999) (to appear) (LANL math. DG/9908056).
5. [5] Helfer A.D., Conjugate points on spacelike geodesics or pseudo-self-adjoint Morse-Sturm-Liouville systems, Pacific J. Math. 164 (2) (1994) 321-340.
6. [6] Mercuri F., Piccione P., Tausk D., Stability of the focal and the geometric index in semi-Riemannian geometry via the Maslov index, Technical Report RT-MAT 99-08, Mathematics Department, University of São Paulo, Brazil, 1999 (LANL math. DG/9905096).
7. [7] Piccione P., Tausk D., A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry, J. Math. Phys. 40 (12) (1999) 6682-6688.