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Volumn 52, Issue 2, 2000, Pages 163-172

Lines of principal curvature around umbilics and whitney umbrellas

Author keywords

Lines of curvature; Principal configuration; Whitney umbrella singularity

Indexed keywords


EID: 0034376237     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178224605     Document Type: Article
Times cited : (31)

References (14)
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    • Darboux, G.1
  • 3
    • 84966199279 scopus 로고
    • Positive quadratic differential forms and foliations with singularities on surfaces
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    • (1988) Trans. Amer. Math. Soc , vol.309 , Issue.2 , pp. 375-413
    • Guiriez, V.1
  • 4
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    • Stable Mappings and their Singularities
    • Springer Verlag, New York
    • M. Golubitsky and V. Guillemin, Stable Mappings and their Singularities, Grad. Texts in Math. 14, Springer Verlag, New York, 1973.
    • (1973) Grad. Texts in Math , vol.14
    • Golubitsky, M.1    Guillemin, V.2
  • 5
    • 0000216699 scopus 로고
    • Structural Stable Configurations of Lines of Principal Curvature
    • C. Gutierrez and J. Sotomayor, Structural Stable Configurations of Lines of Principal Curvature, Astérisque 98-99(1982), 195-215.
    • (1982) Astérisque , vol.98-99 , pp. 195-215
    • Gutierrez, C.1    Sotomayor, J.2
  • 6
    • 84972534327 scopus 로고
    • Lines of principal curvature for mappings with Whitney umbrella singularities
    • C. Gutierrez and J. Sotomayor, Lines of principal curvature for mappings with Whitney umbrella singularities, Tôhoku Math. J. 38 (1986), 551-559.
    • (1986) Tôhoku Math. J , vol.38 , pp. 551-559
    • Gutierrez, C.1    Sotomayor, J.2
  • 8
    • 0001912072 scopus 로고
    • Differential Geometry in the Large
    • Springer Verlag
    • H. Hopf, Differential Geometry in the Large, Lecture Notes in Math. 1000, Springer Verlag, 1979.
    • (1979) Lecture Notes in Math , vol.1000
    • Hopf, H.1
  • 9
    • 0010679819 scopus 로고
    • On topologically stable singular surfaces in a 3-manifold
    • S. Izumiya and W. Marar, On topologically stable singular surfaces in a 3-manifold, J. of Geometry 52 (1995), 108-119.
    • (1995) J. Of Geometry , vol.52 , pp. 108-119
    • Izumiya, S.1    Marar, W.2
  • 10
    • 0040836100 scopus 로고
    • Lines of Curvature near Singular Points of Implicit Surfaces
    • R. Garcia and J. Sotomayor, Lines of Curvature near Singular Points of Implicit Surfaces, Bull. Sc. Math. 117 (1993), 313-331.
    • (1993) Bull. Sc. Math , vol.117 , pp. 313-331
    • Garcia, R.1    Sotomayor, J.2
  • 11
    • 0039057732 scopus 로고    scopus 로고
    • Lines of Curvature on Algebraic Surfaces
    • R. Garcia and J. Sotomayor, Lines of Curvature on Algebraic Surfaces, Bull. Sc. Math. 120 (1996), 367-395.
    • (1996) Bull. Sc. Math , vol.120 , pp. 367-395
    • Garcia, R.1    Sotomayor, J.2
  • 13
    • 84972495863 scopus 로고
    • The general type of singularity of a set of 2n - 1 smooth functions of n variables
    • H. Whitney, The general type of singularity of a set of 2n - 1 smooth functions of n variables, Duke Math. J. 10(1943), 161-172.
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    • Whitney, H.1
  • 14
    • 11544372975 scopus 로고
    • The Differential Geometry of the Crosscap
    • University of Liverpool
    • J. West, The Differential Geometry of the Crosscap, Ph. D. Thesis, University of Liverpool, 1995, 1-174.
    • (1995) Ph. D. Thesis , pp. 1-174
    • West, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.