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Double tangency theorems for pairs of submanifolds

Part of the Lecture Notes in Mathematics book series (LNM,volume 894)

Keywords

  • Vector Bundle
  • Curvature Vector
  • Double Support
  • General Deformation
  • Pinch Point

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Bibliography

  1. T. Banchoff “Global Geometry of Polygons I: The theorem of Fabricius-Bjerre”, Proc. Amer. Math. Soc. 45 (1974) 237–241.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. T. Banchoff “Integral Normal Euler Classes of Polyhedral Surfaces in 4-space”. (To appear).

    Google Scholar 

  3. T. Banchoff “Self-Linking Numbers of Space Polygons”, Indiana Univ. Math. J. 25 (1976), 1171–1183.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Fr. Fabricius-Bjerre “A Proof of a Relation Between the Numbers of Singularities of a Closed Polygon”, Journ. of Geometry 13 (1979), 126–132.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Fr. Fabricius-Bjerre “On the Double Tangents of Plane Closed Curves”, Math. Scand. 11 (1962) 113–116.

    MathSciNet  MATH  Google Scholar 

  6. B. Halpern “Global Theorems for Closed Plane Curves”, Bull. Amer. Math. Soc. 76 (1970) 96–100.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. N. Kuiper “Stable Surfaces in Euclidean 3-Space”, Math. Scand. 36, (1975) 83–96.

    MathSciNet  MATH  Google Scholar 

  8. H.-F. Lai “Double Tangents and Points of Inflection of Mn Immersed in R2n”. (preprint), (1974).

    Google Scholar 

  9. W. Pohl “The Self-Linking Number of a Closed Space Curve”, J. Math. Mech. 17 (1967–68) 975–985.

    MathSciNet  MATH  Google Scholar 

  10. D. J. Struik, “Lectures on Classical Differential Geometry” (1950) Addison-Wesley Press, Inc. Cambridge, Mass.

    MATH  Google Scholar 

  11. H. Whitney, “On the Topology of Differentiable Manifolds”, Lectures in Topology (1941), Univ. of Mich. Press, 101–141.

    Google Scholar 

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Dedicated to Nicolaas H. Kuiper with thanks on his sixtieth birthday.

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© 1981 Springer-Verlag

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Banchoff, T.F. (1981). Double tangency theorems for pairs of submanifolds. In: Looijenga, E., Siersma, D., Takens, F. (eds) Geometry Symposium Utrecht 1980. Lecture Notes in Mathematics, vol 894. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096223

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  • DOI: https://doi.org/10.1007/BFb0096223

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11167-2

  • Online ISBN: 978-3-540-38641-4

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