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Volumn 187, Issue 2, 1997, Pages 375-415

A variational theory for light rays in stably causal Lorentzian manifolds: Regularity and multiplicity results

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EID: 0031480004     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050141     Document Type: Article
Times cited : (27)

References (14)
  • 1
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    • A Fermat principle on Lorentzian manifolds and applications
    • Antonacci, F., Piccione, P.: A Fermat Principle on Lorentzian Manifolds and Applications. App. Math. Lett. 9, vol. 2 91-95 (1996)
    • (1996) App. Math. Lett. 9 , vol.2 , pp. 91-95
    • Antonacci, F.1    Piccione, P.2
  • 3
    • 0042738675 scopus 로고    scopus 로고
    • On a Fermat principle in general relativity. A Ljusternik-Schnirelmann theory for light rays
    • Giannoni, F., Masiello, A.: On a Fermat Principle in General Relativity. A Ljusternik-Schnirelmann Theory for Light Rays. To appear in Annali Mat. Pura Appl.
    • Annali Mat. Pura Appl.
    • Giannoni, F.1    Masiello, A.2
  • 4
    • 0031138608 scopus 로고    scopus 로고
    • On a variational theory for light rays in stably causal Lorentzian manifolds
    • Giannoni, F., Masiello, A., Piccione, P.: On a Variational Theory for Light Rays in Stably Causal Lorentzian Manifolds. C. R. Acad. Sci. Paris, t. 324, Série I, pp. 1093-1098, 1997
    • (1997) C. R. Acad. Sci. Paris , vol.324 , Issue.SERIE I , pp. 1093-1098
    • Giannoni, F.1    Masiello, A.2    Piccione, P.3
  • 7
    • 0004265479 scopus 로고
    • Berlin-Heidelberg-New York: Springer-Verlag
    • Klingenberg, W.: Riemannian Geometry. Berlin-Heidelberg-New York: Springer-Verlag, 1982
    • (1982) Riemannian Geometry
    • Klingenberg, W.1
  • 8
    • 0001496905 scopus 로고
    • Fermat principe in arbitrary gravitational fields
    • Kovner, I.: Fermat Principe in Arbitrary Gravitational Fields. Astrophys. J. 351, 114-120 (1990)
    • (1990) Astrophys. J. , vol.351 , pp. 114-120
    • Kovner, I.1
  • 10
    • 0003252211 scopus 로고
    • Morse theory
    • Princeton, NJ: Princeton University Press
    • Milnor, J.: Morse Theory. Ann. Math. Stud. 51, Princeton, NJ: Princeton University Press, 1963
    • (1963) Ann. Math. Stud. , vol.51
    • Milnor, J.1
  • 12
    • 36149035770 scopus 로고
    • On Fermat's principle in general relativity: I. The general case
    • Perlick, V: On Fermat's Principle in General Relativity: I. The General Case. Class. Quantum Grav. 7, 1319-1331 (1990)
    • (1990) Class. Quantum Grav. , vol.7 , pp. 1319-1331
    • Perlick, V.1
  • 14
    • 0001923368 scopus 로고
    • A morse theory for geodesics on a Lorentz manifold
    • Uhlenbeck, K.: A Morse Theory for geodesics on a Lorentz manifold. Topology 14, 69-90 (1975)
    • (1975) Topology , vol.14 , pp. 69-90
    • Uhlenbeck, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.