Pacific Journal of Mathematics

Local behaviour of area functions of convex bodies.

William J. Firey

Article information

Source
Pacific J. Math., Volume 35, Number 2 (1970), 345-357.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102971629

Mathematical Reviews number (MathSciNet)
MR0286982

Zentralblatt MATH identifier
0204.22301

Subjects
Primary: 28.80
Secondary: 52.00

Citation

Firey, William J. Local behaviour of area functions of convex bodies. Pacific J. Math. 35 (1970), no. 2, 345--357. https://projecteuclid.org/euclid.pjm/1102971629


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References

  • [1] A. D. Aleksandrov, Zur Theorie der gemischtenVolumina von konvexen Krper III, Die Erweiterungzweier Lehrsdtze Minkowskisber die konvexen Polyeder auf beliebige konvexe Flchen, Mat. Sbornik, N.S. 3 (1938), 27-46; (Russian with German summary).
  • [2] H. Busemann, Convex Surfaces, New York, 1958.
  • [3] W. Fenchel and B. Jessen, Mengenfunktionenund konvexe Krper,Det Kgl. Danske Videnskab, Selskab, Math-fys. Medd. 16 (1938), 3.
  • [4] W. J. Firey, The determination of convex bodies from their mean radius of curva- ture functions, Mathematika, 14 (1967), 1-13.
  • [5] W. J. Firey, Christoffes problem for general convex bodies, Mathematika 15 (1968), 721.