Skip to main content
SpringerLink
Log in
Book cover

Geometric Analysis and Computer Graphics pp 1–17Cite as

Multi-functions Mod ν

  • Conference paper

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 17))

Abstract

We extend the theory of current valued multi-functions to multi-functions mod ν.

This is a preview of subscription content, 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   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. F. Almgren, The homotopy groups of the integral cycle groups, Topology 1 (1962), 257–299.

    Article  MATH  MathSciNet  Google Scholar 

  2. F. Almgren, Deformations and multiple-valued functions, Proc. Symposia in Pure Math. 44 (1986), 29–130.

    MathSciNet  Google Scholar 

  3. F. Almgren, Applications of multiple valued functions. Geometric Modeling: Algorithms and New Trends, G. E. Farin, editor, SIAM, Philadelphia (1986), 43–54.

    Google Scholar 

  4. F. Almgren, What can geometric measure theory do for several complex variables?, Proceedings of the Several Complex Variables Year at the Mittag-Leffier Institute, 1987–88, (to appear).

    Google Scholar 

  5. F. Almgren, Q-valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two, (multilithed notes) (1984), 1720 pp.

    Google Scholar 

  6. F. Almgren, A new look at flat chains mod v, (in preparation).

    Google Scholar 

  7. F. Almgren and B. Super, Multiple valued functions in the geometric calculus of variations, Astérisque 118 (1984), 13–32.

    MathSciNet  Google Scholar 

  8. K. Brakke, The Evolver Program, The Geometry Supercomputer Project (1989), (in preparation).

    Google Scholar 

  9. S. Chang, Two dimensional area minimizing integral currents are classical minimal surfaces, J. Amer. Math. Soc. 1 (1988), 699–778.

    MATH  MathSciNet  Google Scholar 

  10. H. Federer, Geometric Measure Theory, Grundlehren math. Wiss., Springer-Verlag, New York 153 (1969), xiv + 676 pp.

    MATH  Google Scholar 

  11. H. Fédérer and W. H. Fleming, Normal and integral currents, Ann. of Math. 72 (1960), 458–520.

    Article  MATH  MathSciNet  Google Scholar 

  12. F. R. Harvey and H. B. Lawson, Complex analytic geometry and measure theory, Proc. Symposia in Pure Math. 44 (1986), 261–274.

    MathSciNet  Google Scholar 

  13. F. Morgan, Geometric Measure Theory. A Beginners Guide, Academic Press, Inc. New York (1988), viii + 145 pp.

    Google Scholar 

  14. D. Nance, The multiplicity of generic projections of n-dimensional surfaces in R n+k (n + k ≤ 4), Proc. Symposia in Pure Math. 44 (1986), 329–341.

    Google Scholar 

  15. B. Solomon, A new proof of the closure theorem for integral currents, Indiana Univ. Math. J. 33 (1984), 393–418.

    Article  MATH  MathSciNet  Google Scholar 

  16. H. Whitney, Complex Analytic Varieties, Addison-Wesley Publishing Co., Reading, MA (1972), xii + 399 pp.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA

    Frederick J. Almgren Jr.

Authors
  1. Frederick J. Almgren Jr.
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Lawrence Berkeley Laboratory and Department of Mathematics, University of California at Berkeley, Berkeley, CA, 94720, USA

    Paul Concus

  2. Department of Mathematics, Stanford University, Stanford, CA, 94305, USA

    Robert Finn

  3. Department of Mathematics, University of Massachusetts, Amherst, MA, 01003, USA

    David A. Hoffman

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag New York Inc.

About this paper

Cite this paper

Almgren, F.J. (1991). Multi-functions Mod ν . In: Concus, P., Finn, R., Hoffman, D.A. (eds) Geometric Analysis and Computer Graphics. Mathematical Sciences Research Institute Publications, vol 17. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9711-3_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-9711-3_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9713-7

  • Online ISBN: 978-1-4613-9711-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation