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Volumn 27, Issue 3, 2010, Pages 793-807

Two-dimensional almost-Riemannian structures with tangency points

Author keywords

[No Author keywords available]

Indexed keywords

SURFACE STRUCTURE;

EID: 77951255295     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2009.11.011     Document Type: Article
Times cited : (35)

References (17)
  • 1
    • 44849132955 scopus 로고    scopus 로고
    • A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds
    • Agrachev A., Boscain U., and Sigalotti M. A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Discrete Contin. Dyn. Syst. 20 4 (2008) 801-822
    • (2008) Discrete Contin. Dyn. Syst. , vol.20 , Issue.4 , pp. 801-822
    • Agrachev, A.1    Boscain, U.2    Sigalotti, M.3
  • 2
    • 0035774833 scopus 로고    scopus 로고
    • A "Gauss-Bonnet formula" for contact sub-Riemannian manifolds
    • Agrachëv A.A. A "Gauss-Bonnet formula" for contact sub-Riemannian manifolds. Dokl. Akad. Nauk 381 5 (2001) 583-585
    • (2001) Dokl. Akad. Nauk , vol.381 , Issue.5 , pp. 583-585
    • Agrachëv, A.A.1
  • 3
    • 28444476416 scopus 로고    scopus 로고
    • Control Theory from the Geometric Viewpoint
    • Springer-Verlag, Berlin Control Theory and Optimization, II
    • Agrachev A.A., and Sachkov Y.L. Control Theory from the Geometric Viewpoint. Encyclopaedia Math. Sci. vol. 87 (2004), Springer-Verlag, Berlin Control Theory and Optimization, II
    • (2004) Encyclopaedia Math. Sci. , vol.87
    • Agrachev, A.A.1    Sachkov, Y.L.2
  • 4
    • 0002299746 scopus 로고    scopus 로고
    • The tangent space in sub-Riemannian geometry
    • Sub-Riemannian Geometry, Birkhäuser, Basel
    • Bellaïche A. The tangent space in sub-Riemannian geometry. Sub-Riemannian Geometry. Progr. Math. vol. 144 (1996), Birkhäuser, Basel 1-78
    • (1996) Progr. Math. , vol.144 , pp. 1-78
    • Bellaïche, A.1
  • 6
    • 28444451158 scopus 로고    scopus 로고
    • Nonisotropic 3-level quantum systems: Complete solutions for minimum time and minimum energy
    • Boscain U., Chambrion T., and Charlot G. Nonisotropic 3-level quantum systems: Complete solutions for minimum time and minimum energy. Discrete Contin. Dyn. Syst. Ser. B 5 4 (2005) 957-990
    • (2005) Discrete Contin. Dyn. Syst. Ser. B , vol.5 , Issue.4 , pp. 957-990
    • Boscain, U.1    Chambrion, T.2    Charlot, G.3
  • 7
    • 0035981790 scopus 로고    scopus 로고
    • Optimal control in laser-induced population transfer for two- and three-level quantum systems
    • Boscain U., Charlot G., Gauthier J.-P., Guérin S., and Jauslin H.-R. Optimal control in laser-induced population transfer for two- and three-level quantum systems. J. Math. Phys. 43 5 (2002) 2107-2132
    • (2002) J. Math. Phys. , vol.43 , Issue.5 , pp. 2107-2132
    • Boscain, U.1    Charlot, G.2    Gauthier, J.-P.3    Guérin, S.4    Jauslin, H.-R.5
  • 8
    • 33751196079 scopus 로고    scopus 로고
    • A short introduction to optimal control
    • Sari T. (Ed), Hermann, Paris
    • Boscain U., and Piccoli B. A short introduction to optimal control. In: Sari T. (Ed). Contrôle Non Linéaire et Applications (2005), Hermann, Paris 19-66
    • (2005) Contrôle Non Linéaire et Applications , pp. 19-66
    • Boscain, U.1    Piccoli, B.2
  • 9
    • 77950849927 scopus 로고    scopus 로고
    • High-order angles in almost-Riemannian geometry
    • Actes de Séminaire de Théorie Spectrale et Géométrie, vol. 24, Année 2005-2006, Univ. Grenoble I
    • Boscain U., and Sigalotti M. High-order angles in almost-Riemannian geometry. Actes de Séminaire de Théorie Spectrale et Géométrie, vol. 24, Année 2005-2006. Sémin. Théor. Spectr. Géom. vol. 25 (2008), Univ. Grenoble I 41-54
    • (2008) Sémin. Théor. Spectr. Géom. , vol.25 , pp. 41-54
    • Boscain, U.1    Sigalotti, M.2
  • 10
    • 0013201528 scopus 로고
    • Une métrique associée à une classe d'opérateurs elliptiques dégénérés
    • Conference on Linear Partial and Pseudodifferential Operators. Torino, 1982 1983
    • Franchi B., and Lanconelli E. Une métrique associée à une classe d'opérateurs elliptiques dégénérés. Conference on Linear Partial and Pseudodifferential Operators. Torino, 1982. Rend. Semin. Mat. Univ. Politec. Torino Special Issue (1984) 105-114 1983
    • (1984) Rend. Semin. Mat. Univ. Politec. Torino , Issue.SPEC. ISSUE , pp. 105-114
    • Franchi, B.1    Lanconelli, E.2
  • 11
    • 0040231472 scopus 로고
    • A certain class of hypoelliptic operators
    • Grušin V.V. A certain class of hypoelliptic operators. Mat. Sb. (N.S.) 83 125 (1970) 456-473
    • (1970) Mat. Sb. (N.S.) , vol.83 , Issue.125 , pp. 456-473
    • Grušin, V.V.1
  • 12
    • 0005302649 scopus 로고
    • Differential Topology
    • Springer-Verlag, New York
    • Hirsch M.W. Differential Topology. Grad. Texts in Math. vol. 33 (1994), Springer-Verlag, New York
    • (1994) Grad. Texts in Math. , vol.33
    • Hirsch, M.W.1
  • 13
    • 0002406886 scopus 로고    scopus 로고
    • Geometric Control Theory
    • Cambridge University Press, Cambridge
    • Jurdjevic V. Geometric Control Theory. Cambridge Stud. Adv. Math. vol. 52 (1997), Cambridge University Press, Cambridge
    • (1997) Cambridge Stud. Adv. Math. , vol.52
    • Jurdjevic, V.1
  • 14
    • 0007465319 scopus 로고
    • Ideals of Differentiable Functions
    • Tata Institute of Fundamental Research, Bombay
    • Malgrange B. Ideals of Differentiable Functions. Tata Inst. Fund. Res. Stud. Math. vol. 3 (1967), Tata Institute of Fundamental Research, Bombay
    • (1967) Tata Inst. Fund. Res. Stud. Math. , vol.3
    • Malgrange, B.1
  • 15
    • 0011378149 scopus 로고    scopus 로고
    • A tour of subriemannian geometries, their geodesics and applications
    • American Mathematical Society, Providence, RI
    • Montgomery R. A tour of subriemannian geometries, their geodesics and applications. Math. Surveys Monogr. vol. 91 (2002), American Mathematical Society, Providence, RI
    • (2002) Math. Surveys Monogr. , vol.91
    • Montgomery, R.1
  • 16
    • 0010992615 scopus 로고
    • Quelques propriétés géométriques des variétés pseudo-riemanniennes singulières
    • Pelletier F. Quelques propriétés géométriques des variétés pseudo-riemanniennes singulières. Ann. Fac. Sci. Toulouse Math. (6) 4 1 (1995) 87-199
    • (1995) Ann. Fac. Sci. Toulouse Math. (6) , vol.4 , Issue.1 , pp. 87-199
    • Pelletier, F.1
  • 17
    • 27144507220 scopus 로고    scopus 로고
    • The problem of geodesics, intrinsic derivation and the use of control theory in singular sub-Riemannian geometry
    • Actes de la Table Ronde de Géométrie Différentielle. Luminy, 1992, Soc. Math. France, Paris
    • Pelletier F., and Valère Bouche L. The problem of geodesics, intrinsic derivation and the use of control theory in singular sub-Riemannian geometry. Actes de la Table Ronde de Géométrie Différentielle. Luminy, 1992. Sémin. Congr. vol. 1 (1996), Soc. Math. France, Paris 453-512
    • (1996) Sémin. Congr. , vol.1 , pp. 453-512
    • Pelletier, F.1    Valère Bouche, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.