Existence and Multiplicity of Normal Geodesies on Static Space-Time Manifolds

Bollettino della Unione Matematica Italiana A

Volumn 10, Issue 2, 1996, Pages 305-318

  Molina, J ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1542572659     PISSN: 03924033     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. V. BENCI - D. FORTUNATO, On the existence of infinitely many geodesies on space-time manifolds, Adv. Math., 105, (1994), 1-25.
2. V. BENCI - D. FORTUNATO - F. GIANNONI, On the existence of multiple geodesies in static space-time, Ann. Inst. Poincaré, 8 (1991) 79-102.
3. V. BENCI - A. MASIELLO, A Morse index for geodesies in static Lorentz manifolds, Math. Ann., 293 (1992), 433-442.
4. E. FADELL - A. HUSSEIN, Category of loop space of open subsets in euclidean space, Nonlinear Anal., 17 (1991), 1153-1161.
5. A. MASIELLO, Metodi variazionali in geometria lorenziana, tesi di Dot- torato di ricerca, Università di Pisa.
6. J. MOLINA, A Morse index theorem for normal geodesies on static space-time manifolds, to appear.
7. J. NASH, The embedding problem for Riemannian manifolds, Ann. Math., 63 (1956), 20-63.
8. B. O'NEILL, Semi Riemannian geometry with applications to relativity, Academic Press Inc., New York-London, 1983.
9. R. PALAIS, Lusternik-Schnirelmann theory on Banach manifolds, Topology, 5 (1966), 115-132.
10. P. RABINOWITZ, Minimax methods in critical point theory with application to differential equations, CBMS Reg. Conf. Ser. in Math., 65 (1986).
11. J. T. SCHWARTZ, Non linear functional analysis, Gordon and Breach, New York, 1969.