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Volumn 2, Issue 4, 1997, Pages 593-618

Morse theory for trajectories of lagrangian systems on riemannian manifolds with convex boundary

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EID: 0242387108     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (3)

References (12)
  • 1
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    • A new approach to Morse-Conley theory and some applications
    • V. Benci, A new approach to Morse-Conley theory and some applications, Ann. Mat. Pura ed Appl., 158 (1991), 231-305.
    • (1991) Ann. Mat. Pura ed Appl. , vol.158 , pp. 231-305
    • Benci, V.1
  • 2
    • 0002184633 scopus 로고
    • On the existence of infinitely many geodesics on space-time manifolds
    • V. Benci and D. Fortunato, On the existence of infinitely many geodesics on space-time manifolds, Adv. Math., 105 (1994), 1-25.
    • (1994) Adv. Math. , vol.105 , pp. 1-25
    • Benci, V.1    Fortunato, D.2
  • 3
    • 0000506509 scopus 로고
    • On the existence of geodesics in static Lorentz manifolds with nonsmooth boundary
    • V. Benci, D. Fortunato, and F. Giannoni, On the existence of geodesics in static Lorentz manifolds with nonsmooth boundary, Ann. Scuola Norm. Sup. Cl. Sci. (4) Vol. XIX (1992), 255-289.
    • (1992) Ann. Scuola Norm. Sup. Cl. Sci. , vol.19 , Issue.4 , pp. 255-289
    • Benci, V.1    Fortunato, D.2    Giannoni, F.3
  • 4
    • 0001175162 scopus 로고
    • Homoclinics on Riemannian manifolds with convex boundary
    • A. Germinario, Homoclinics on Riemannian manifolds with convex boundary, Dyn. Syst. and Appl., 4 (1995), 549-566.
    • (1995) Dyn. Syst. and Appl. , vol.4 , pp. 549-566
    • Germinario, A.1
  • 5
    • 0011591908 scopus 로고
    • Morse Relations for geodesics on stationary Lorentzian manifolds with boundary
    • F. Giannoni and A. Masiello, Morse Relations for geodesics on stationary Lorentzian manifolds with boundary, Top. Meth. in Nonlinear Anal., 6 (1995), 1-30.
    • (1995) Top. Meth. in Nonlinear Anal., , vol.6 , pp. 1-30
    • Giannoni, F.1    Masiello, A.2
  • 6
    • 0003323305 scopus 로고
    • Variational Methods in Lorentzian Geometry
    • London
    • A. Masiello, "Variational Methods in Lorentzian Geometry," Pitman Res. Notes in Math., 309, London, 1994.
    • (1994) Pitman Res. Notes in Math. , vol.309
    • Masiello, A.1
  • 7
    • 0003915087 scopus 로고
    • Critical Point Theory and Hamiltonian Systems
    • Springer-Verlag, Berlin
    • J. Mawhin and M. Willem, "Critical Point Theory and Hamiltonian Systems," Springer-Verlag, Berlin, 1989.
    • (1989)
    • Mawhin, J.1    Willem, M.2
  • 8
    • 0003252211 scopus 로고
    • Morse Theory
    • Princeton University Press, Princeton
    • J. Milnor, "Morse Theory," Ann. Math. Study, 51, Princeton University Press, Princeton, 1963.
    • (1963) Ann. Math. Study , vol.51
    • Milnor, J.1
  • 9
    • 0002702476 scopus 로고
    • The embedding problem for Riemannian manifolds
    • J. Nash, The embedding problem for Riemannian manifolds, Ann. of Math., 63 (1956), 20-63.
    • (1956) Ann. of Math. , vol.63 , pp. 20-63
    • Nash, J.1
  • 10
    • 0001386011 scopus 로고
    • Morse theory on Hilbert manifolds
    • R.S. Palais, Morse theory on Hilbert manifolds, Topology, 2 (1963), 299-340.
    • (1963) Topology , vol.2 , pp. 299-340
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  • 11
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    • Critical point theory and the min-max principle
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    • R.S. Palais, Critical point theory and the min-max principle, in Glob. Anal., Proc. Sym. Pure Math.,15, 185-202, Am. Math. Soc., Providence, 1970.
    • (1970) Am. Math. Soc., Providence , vol.15 , pp. 185-202
    • Palais, R.S.1
  • 12
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    • Algebraic Topology
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    • E.H. Spanier, "Algebraic Topology," McGraw-Hill, New York 1966.
    • (1966)
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.