Skip to main content
SpringerLink
Log in

The (φ,k) rectifiable subsets of a homogeneous space

  • Published:
Acta Mathematica

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Besicovitch, A. S., On the fundamental geometrical properties of linearly measurable plane sets of points (III).Math. Ann., 116 (1939), 349–357.

    Article  MATH  MathSciNet  Google Scholar 

  2. Brothers, J. E., Integral geometry in homogeneous spaces.Trans. Amer. Math. Soc., 124 (1966), 480–517.

    Article  MATH  MathSciNet  Google Scholar 

  3. Federer, H., The (φ,k) rectifiable subsets ofn space.Trans. Amer. Math. Soc., 62 (1947), 114–192.

    Article  MATH  Google Scholar 

  4. —, Some integralgeometric theorems.Trans. Amer. Math. Soc., 77 (1954), 238–261.

    Article  MATH  MathSciNet  Google Scholar 

  5. —, Curvature measures.Trans. Amer. Math. Soc., 93 (1959), 418–491.

    Article  MATH  MathSciNet  Google Scholar 

  6. —, Two theorems in geometric measure theory,Bull. Amer. Math. Soc., 72 (1966), 719.

    Article  MATH  MathSciNet  Google Scholar 

  7. —,Geometric measure theory. Springer-Verlag, Heidelberg and New York, 1969.

    MATH  Google Scholar 

  8. Federer, H. &Fleming, W. H., Normal and integral currents.Ann. of Math., (2) 72 (1960), 458–520.

    Article  MATH  MathSciNet  Google Scholar 

  9. Kobayashi, S. &Nomizu, K.,Foundations of differential geometry. Interscience Tracts in Pure and Applied Mathematics No. 15, Interscience, New York, 1963.

    MATH  Google Scholar 

  10. Weil, A., L'intégration dans les groups topologiques et ses applications.Actualités Sci. Indust., No. 869, Hermann, Paris, 1938.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Indiana University, Bloomington, Ind., USA

    John E. Brothers

Authors
  1. John E. Brothers
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research partially supported by National Science Foundation grant GP-7505.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brothers, J.E. The (φ,k) rectifiable subsets of a homogeneous space. Acta Math. 122, 197–229 (1969). https://doi.org/10.1007/BF02392011

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392011

Keywords

Search

Navigation