@article{AIHPC_1995__12_1_27_0, author = {Giannoni, Fabio and Masiello, A.}, title = {Geodesics on product lorentzian manifolds}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {12}, year = {1995}, pages = {27-60}, mrnumber = {1320567}, zbl = {0839.53046}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1995__12_1_27_0} }
Giannoni, F.; Masiello, A. Geodesics on product lorentzian manifolds. Annales de l'I.H.P. Analyse non linéaire, Tome 12 (1995) pp. 27-60. http://gdmltest.u-ga.fr/item/AIHPC_1995__12_1_27_0/
[1] On the existence of infinitely many geodesics on space-time manifolds, Adv. Math., to appear. | MR 1275190 | Zbl 0808.58016
and ,[2] Geodesics on Lorentzian manifolds, preprint Dip. Mat. Univ. Bari, 1992.
, and ,[3] On the geodesic connectedeness of Lorentzian manifolds, Math. Z, to appear. | MR 1292174 | Zbl 0807.53054
, and ,[4] Lectures in chomological index theories of G-spaces with applications to critical point theory, Sem. Dip. Mat. Universita' della Calabria, Cosenza, 1985. | MR 801933
,[5] Relative category and homology products, preprint.
and ,[6] Limit relative category and critical point theory, report Inst. Math. Pure Appl., Université Catholique de Louvain, 1990.
, , and ,[7] Relative category and the calculus of variations, in "Variational problems", H. Beresticky, J. M. Coron and I. Ekeland, eds., Birkhäuser, Basel, 1990. | MR 1205148 | Zbl 0719.58010
and ,[8] Domains of dependence, J. Math. Phys., Vol. 11, 1970, pp..437-449. | Zbl 0189.27602
,[9] On the existence of geodesics on stationary Lorentz manifolds with convex boundary, Jour. Funct. Analysis, Vol. 101, 1991, pp. 340-369. | MR 1136940 | Zbl 0756.53029
and ,[10] Morse Theory, Ann. Math. Studies, Vol. 51, Princeton 1963. | Zbl 0108.10401
,[11] The embedding problem for Riemannian manifolds, Ann. Math., Vol. 63, 1956, pp. 20-63. | Zbl 0070.38603
,[12] Semi-Riemannian geometry with applications to relativity, Academic Press, New York-London, 1983. | MR 719023 | Zbl 0531.53051
,[13] Critical point theory and the minimax principle, Global Anal., Proc. Sym. Pure Math. Amer. Math. Soc., Vol. 15, 1970, pp. 185-202. | MR 264712 | Zbl 0212.28902
,[14] Techniques of differential topology in relativity, S.I.A.M., Philadelphia, 1972. | MR 469146 | Zbl 0321.53001
,[15] A minimax principle and application to elliptic partial differential equations, Proc. "Nonlinear Partial Differential Equations", Lect. Note Math., Vol. 648, Springer, Berlin-Heidelberg-New York, 1978. | MR 488127 | Zbl 0377.35020
,[16] Nonlinear functional analysis, Gordon and Breach, New York, 1969. | MR 433481 | Zbl 0203.14501
,[17] A relative category and applications to critical point theory for strongly indefinite functionals, Nonlin. Anal. T.M.A., Vol. 15, n° 8, 1990, pp. 725-7339. | MR 1074951 | Zbl 0719.58011
,