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Volumn 39, Issue 11, 1998, Pages 6137-6152

An existence theory for relativistic brachistochrones in stationary space-times

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EID: 0032343052     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532619     Document Type: Article
Times cited : (11)

References (13)
  • 1
    • 0011598238 scopus 로고
    • Relativistic Brachistochrone
    • F. Goldstein and C. M. Bender, "Relativistic Brachistochrone," J. Math. Phys. 27, 507-511 (1985).
    • (1985) J. Math. Phys. , vol.27 , pp. 507-511
    • Goldstein, F.1    Bender, C.M.2
  • 2
    • 0011670434 scopus 로고
    • The brachistochrone in almost flat space
    • G. Kamath, "The brachistochrone in almost flat space," J. Math. Phys. 29, 2268-2272 (1988).
    • (1988) J. Math. Phys. , vol.29 , pp. 2268-2272
    • Kamath, G.1
  • 3
    • 0001966558 scopus 로고
    • The brachistochrone problem in a stationary space-time
    • V. Perlick, "The brachistochrone problem in a stationary space-time," J. Math. Phys. 32, 3148-3157 (1991).
    • (1991) J. Math. Phys. , vol.32 , pp. 3148-3157
    • Perlick, V.1
  • 4
    • 0031481406 scopus 로고    scopus 로고
    • An approach to the relativistic brachistochrone problem by sub-Riemannian geometry
    • F. Giannoni, P. Piccione, and J. A. Verderesi, "An approach to the relativistic brachistochrone problem by sub-Riemannian geometry," J. Math. Phys. 38, 6367-6381 (1997).
    • (1997) J. Math. Phys. , vol.38 , pp. 6367-6381
    • Giannoni, F.1    Piccione, P.2    Verderesi, J.A.3
  • 9
    • 0000851847 scopus 로고
    • Homologie singuliere des espaces fibres
    • J. P. Serre, "Homologie singuliere des espaces fibres," Ann. Math. 54, 425-505 (1951).
    • (1951) Ann. Math. , vol.54 , pp. 425-505
    • Serre, J.P.1
  • 11
    • 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. Sci. Norm. Sup. Serie IV XIX, 255-289 (1992).
    • (1992) Ann. Sci. Norm. Sup. Serie IV , vol.19 , pp. 255-289
    • Benci, V.1    Fortunato, D.2    Giannoni, F.3
  • 12
    • 0002702476 scopus 로고
    • The embedding problem for riemannian manifolds
    • J. Nash, "The embedding problem for riemannian manifolds," Ann. Math. 63, 20-63 (1956).
    • (1956) Ann. Math. , vol.63 , pp. 20-63
    • Nash, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.