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Volumn 39, Issue 3, 2001, Pages 183-206

Variational aspects of the geodesics problem in sub-Riemannian geometry

Author keywords

37J05; 37J50; 37J60; 53C17; 70H03; 70H05; Differential geometry; Geodesic problem in sub Riemannian geometry; Variational calculus

Indexed keywords


EID: 0001753741     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(01)00011-0     Document Type: Article
Times cited : (13)

References (12)
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    • An existence theory for relativistic brachistochrones in stationary space-times
    • Giannoni F., Piccione P. An existence theory for relativistic brachistochrones in stationary space-times. J. Math. Phys. 39(11):1998;6137-6152.
    • (1998) J. Math. Phys. , vol.39 , Issue.11 , pp. 6137-6152
    • Giannoni, F.1    Piccione, P.2
  • 6
    • 0031481406 scopus 로고    scopus 로고
    • An approach to the relativistic brachistochrone problem by sub-Riemannian geometry
    • Giannoni F., Piccione P., Verderesi J.A. An approach to the relativistic brachistochrone problem by sub-Riemannian geometry. J. Math. Phys. 38(12):1997;6367-6381.
    • (1997) J. Math. Phys. , vol.38 , Issue.12 , pp. 6367-6381
    • Giannoni, F.1    Piccione, P.2    Verderesi, J.A.3
  • 7
    • 0032275317 scopus 로고    scopus 로고
    • The Morse index theorem for Carnot-Carathéodory spaces
    • Kishimoto I. The Morse index theorem for Carnot-Carathéodory spaces. J. Math. Kyoto Univ. 38(2):1998;287-293.
    • (1998) J. Math. Kyoto Univ. , vol.38 , Issue.2 , pp. 287-293
    • Kishimoto, I.1
  • 9
    • 0003241547 scopus 로고
    • Shortest paths for sub-Riemannian metrics of rank 2 distributions
    • Liu W., Sussmann H.J. Shortest paths for sub-Riemannian metrics of rank 2 distributions. Memoirs Am. Math. Soc. 564:1995;118.
    • (1995) Memoirs Am. Math. Soc. , vol.564 , pp. 118
    • Liu, W.1    Sussmann, H.J.2
  • 10
    • 34249759036 scopus 로고
    • A survey of singular curves in sub-Riemannian geometry
    • Montgomery R. A survey of singular curves in sub-Riemannian geometry. J. Dyn. Control Syst. 1(1):1995;49-90.
    • (1995) J. Dyn. Control Syst. , vol.1 , Issue.1 , pp. 49-90
    • Montgomery, R.1
  • 11
    • 0028546359 scopus 로고
    • Abnormal minimizers
    • Montgomery R. Abnormal minimizers. SIAM J. Control Opt. 32(6):1994;1605-1620.
    • (1994) SIAM J. Control Opt. , vol.32 , Issue.6 , pp. 1605-1620
    • Montgomery, R.1
  • 12
    • 0035480339 scopus 로고    scopus 로고
    • On the Banach differentiable structure for sets of maps on non-compact domains
    • in press
    • P. Piccione, D.V. Tausk, On the Banach differentiable structure for sets of maps on non-compact domains, Nonlinear Anal., Ser. A 46 (2001), in press.
    • (2001) Nonlinear Anal., Ser. A , vol.46
    • Piccione, P.1    Tausk, D.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.