@article{RSMUP_1994__91__251_0, author = {Greco, Carlo}, title = {Infinitely many spacelike periodic trajectories on a class of {Lorentz} manifolds}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {251--263}, publisher = {Seminario Matematico of the University of Padua}, volume = {91}, year = {1994}, mrnumber = {1289640}, zbl = {0807.53055}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_1994__91__251_0/} }
TY - JOUR AU - Greco, Carlo TI - Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1994 SP - 251 EP - 263 VL - 91 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_1994__91__251_0/ LA - en ID - RSMUP_1994__91__251_0 ER -
%0 Journal Article %A Greco, Carlo %T Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds %J Rendiconti del Seminario Matematico della Università di Padova %D 1994 %P 251-263 %V 91 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_1994__91__251_0/ %G en %F RSMUP_1994__91__251_0
Greco, Carlo. Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds. Rendiconti del Seminario Matematico della Università di Padova, Tome 91 (1994), pp. 251-263. http://archive.numdam.org/item/RSMUP_1994__91__251_0/
[1] Dual variational methods in critical point theory and applications, J. Funct. Anal., 14 (1973), pp. 349-381. | MR | Zbl
- ,[2] Periodic trajectories for the Lorentz-metric of a static gravitational field, in: Proc. on Variational Problems (D. BERESTICKI - J. M. CORON - E. EKELAND, Eds.), Paris (1989), pp. 13-18. | MR | Zbl
- ,[3] D. FORTUNATO, Existence of geodesics for the Lorentz-metric of a stationary gravitational field, Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 7 (1) (1990). | Numdam | MR | Zbl
-[4] On the existence of infinitely many geodesic on space-time manifolds, to appear on Adv. Math. | MR | Zbl
- ,[5] D. FORTUNATO - F. GIANNONI, On the existence of multiple geodesics in static space-time, Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 8 (1991), pp. 79-102. | Numdam | MR | Zbl
-[6] Un criterio di esistenza per i punti critici su varietà illimitate, Rend. Ist. Lomb. Sc.(A), 112 (1978), pp. 332-336. | Zbl
,[7] Periodic trajectories for a class of Lorentz-metrics of a time-dependent gravitational field, Math. Ann., 287 (1990), pp. 515-521. | MR | Zbl
,[8] Periodic trajectories in static space-times, Proc. Royal Soc. Edinburgh, 113-A (1989), pp. 99-103. | MR | Zbl
,[9] Multiple periodic trajectories on stationary space-times, Ann. Mat. Pura Appl., (IV), 162 (1992), pp. 337-348. | MR | Zbl
,[10] Timelike periodic trajectories in stationary Lorentz manifold, Nonlin. Anal. T.M.A., 19 (1992), pp. 531-545. | MR | Zbl
,[11] On the existence of a closed geodesic on stationary Lorentz manifold, J. Diff. Eqs., 104 (1993), pp. 48-59. | MR | Zbl
,[12] L. PISANI, Existence oftimelike trajectory for a time-dependent Lorentz metric, Ann. Univ. Ferrara, (VII), 36 (1990), pp. 207-222. | MR | Zbl
-[13] M. WILLEM, Critical Point Theory and Hamiltonian Systems, Springer-Verlag, New York (1989). | MR | Zbl
-[14] Semi-Riemannian Geometry. With Applications to Relativity, Academic Press, London (1983). | Zbl
,[15] A Morse theory for geodesics on a Lorentz manifold, Topology, 14 (1975), pp. 69-90. | MR | Zbl
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