Skip to main content
SpringerLink
Log in

Double tangency theorems for pairs of submanifolds

  • Conference paper
  • First Online:
Geometry Symposium Utrecht 1980

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

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

    Article  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.

    Article  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.

    Article  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.

    Article  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 

Download references

Authors
  1. Thomas F. Banchoff
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

E. Looijenga D. Siersma F. Takens

Additional information

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

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11167-2

  • Online ISBN: 978-3-540-38641-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation