Skip to main content
SpringerLink
Log in

A compact imbedding result on Lipschitz manifolds

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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. Bachman, G., Narici, L.: Functional analysis. New York: Academic Press 1966

    Google Scholar 

  2. De Cecco, G., Palmieri, G.: Harmonic forms on Lipschitz manifolds. Boll. Unione Mat. Ital.2, 101–108 (1988)

    Google Scholar 

  3. Federer, H.: Geometric measure theory. Berlin Heidelberg New York: Springer 1969

    Google Scholar 

  4. Friedrichs, K.O.: Differential forms on Riemannian manifolds. Commun. Pure Appl. Math.8, 551–590 (1955)

    Google Scholar 

  5. Gaffney, M.: The harmonic operator for exterior differential forms. Proc. Natl. Acad. Sci. USA37, 48–50 (1951)

    Google Scholar 

  6. Gilkey, P.B.: Invariance theory, the heat equation and the Atiyah-Singer index theorem. Publish or Perish, Wilmington (1984)

  7. Lichnerowicz, A.: Geometrie des groupes de transformations. Paris: Dunod 1958

    Google Scholar 

  8. McLeod, K., Picard, R.: A compact imbedding result on Lipschitz manifolds. Technical Report No. 17 — Summer 1989, University of Wisconsin-Milwaukee (1989)

  9. Müller, C.: Spherical harmonics. (Lect. Notes Math., vol. 17) Berlin Heidelberg New York: Springer 1966

    Google Scholar 

  10. Picard, R.: Ein Hodge-Satz für Mannigfaltigkeiten mit nichtglattem Rand. Math. Methods Appl. Sci.5, 153–161 (1983)

    Google Scholar 

  11. Picard, R.: An elementary proof for a compact imbedding result in generalized electromagnetic theory. Math. Z.187, 151–161 (1984)

    Google Scholar 

  12. Shanahan, P.: The Atiyah-Singer index theorem. (Lect. Notes Math., vol. 638) Berlin Heidelberg New York: Springer 1978

    Google Scholar 

  13. Sullivan, D., Teleman, N.: An analytic proof of Novikov's theorem on rational Pontrjagin classes. Publ. Math., Inst. Hautes Etud. Sci.58, 291–293 (1983)

    Google Scholar 

  14. Teleman, N.: The index of signature operators on Lipschitz manifolds. Publ. Math., Inst. Hautes Etud. Sci.58, 251–290 (1983)

    Google Scholar 

  15. Weck, N.: Maxwell's boundary value problem on Riemannian manifolds with nonsmooth boundaries. J. Math. Anal. Appl.46, 410–437 (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, 53201, Milwaukee, WI, USA

    Kevin McLeod & Rainer Picard

Authors
  1. Kevin McLeod
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rainer Picard
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

McLeod, K., Picard, R. A compact imbedding result on Lipschitz manifolds. Math. Ann. 290, 491–508 (1991). https://doi.org/10.1007/BF01459256

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01459256

Keywords

Search

Navigation