메뉴 건너뛰기




Volumn 123, Issue 8, 1999, Pages 599-622

Structural stability of asymptotic lines on surfaces immersed in ℝ3

Author keywords

Asymptotic foliations; Structural stability

Indexed keywords


EID: 0033473429     PISSN: 00074497     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0007-4497(99)00116-5     Document Type: Article
Times cited : (26)

References (28)
  • 1
    • 85030060218 scopus 로고
    • Symposia in Pure Math, Amer. Math. Society
    • R. Abraham, Bumpy Metrics, Symposia in Pure Math, Amer. Math. Society 14, 1967.
    • (1967) Bumpy Metrics , vol.14
    • Abraham, R.1
  • 2
    • 0002564801 scopus 로고
    • Geodesic flows on closed riemmannian manifolds of negative curvature
    • Transl. Amer. Math Soc.
    • D.V. Anosov, Geodesic flows on closed riemmannian manifolds of negative curvature, in: Proc. Sketlov Institute of Mathematics, 1967, Transl. Amer. Math Soc., Vol. 90, 1969.
    • (1967) Proc. Sketlov Institute of Mathematics , vol.90
    • Anosov, D.V.1
  • 6
    • 0001546777 scopus 로고
    • Sur les points paraboliques d'une surface: Erratum et complements
    • T. Banchoff and R. Thom, Sur les points paraboliques d'une surface: Erratum et complements, Compt. Rendus Acad. Sci. Paris, Ser. A 291 (1980).
    • (1980) Compt. Rendus Acad. Sci. Paris, Ser. A , vol.291
    • Banchoff, T.1    Thom, R.2
  • 11
    • 84968500652 scopus 로고
    • On parabolic and umbilic points on hypersurfaces
    • E. Feldman, On parabolic and umbilic points on hypersurfaces, Trans. Amer. Math. Soc. 127 (1967).
    • (1967) Trans. Amer. Math. Soc. , vol.127
    • Feldman, E.1
  • 13
    • 85030077238 scopus 로고    scopus 로고
    • Structural stability of parabolic lines and periodic asymptotic lines
    • São Carlos
    • R. Garcia and J. Sotomayor, Structural stability of parabolic lines and periodic asymptotic lines, in: Proc. 4th Workshop on Real and Complex Singularities, São Carlos, 1996; Matemática Contemporânea, Soc. Bras. Matemática 12, 1997.
    • (1996) Proc. 4th Workshop on Real and Complex Singularities
    • Garcia, R.1    Sotomayor, J.2
  • 14
    • 85030076226 scopus 로고    scopus 로고
    • Soc. Bras. Matemática
    • R. Garcia and J. Sotomayor, Structural stability of parabolic lines and periodicasymptotic lines, in: Proc. 4th Workshop on Real and Complex Singularities, São Carlos, 1996; Matemática Contemporânea, Soc. Bras. Matemática 12, 1997.
    • (1997) Matemática Contemporânea , vol.12
  • 15
    • 0000216699 scopus 로고
    • Structural stable configurations of lines of principal curvature
    • C. Gutierrez and J. Sotomayor, Structural stable configurations of lines of principal curvature, Asterisque (1982) 98-99.
    • (1982) Asterisque , pp. 98-99
    • Gutierrez, C.1    Sotomayor, J.2
  • 23
    • 85030061925 scopus 로고
    • Inst. of Math. and its Applic., Conference New Series 11, Clarendon Press
    • R.R. Martin (Ed.), The Mathematics of Surfaces II, Inst. of Math. and its Applic., Conference New Series 11, Clarendon Press, 1987.
    • (1987) The Mathematics of Surfaces II
    • Martin, R.R.1
  • 24
    • 0000194371 scopus 로고
    • Structural stability in the plane with enlarged boundary conditions
    • M.M. Peixoto and M.C. Peixoto, Structural stability in the plane with enlarged boundary conditions, Anais da Acad. Bras. Ciências 31 (1959).
    • (1959) Anais da Acad. Bras. Ciências , vol.31
    • Peixoto, M.M.1    Peixoto, M.C.2
  • 28
    • 0000770380 scopus 로고
    • On singularities of mappings of euclidean spaces I: Mappings of the plane into the plane
    • H. Whitney, On singularities of mappings of euclidean spaces I: Mappings of the plane into the plane, Ann. Math. 62 (1955).
    • (1955) Ann. Math. , vol.62
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.