Skip to main content
SpringerLink
Log in

On the metric projection onto convex sets in riemannian spaces

  • Published:
Archiv der Mathematik 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. N.Bourbaki, Variétés différentielles et analytiques, Fasc. de rés., § 8 à 15. Paris 1971.

  2. J. Cheeger andD. Gromoll, On the structure of complete manifolds of nonnegative curvature. Ann. of Math.96, 413–443 (1972).

    Google Scholar 

  3. H.Dörrie, Ebene und sphärische Trigonometrie. München 1950.

  4. D. Gromoll andW. Meyer, On complete open manifolds of positive curvature. Ann. of Math.90, 75–90 (1969).

    Google Scholar 

  5. D.Geomoll, W.Klingenberg und W.Meyer, Riemannsche Geometrie im Großen. Lect. Notes in Math.55, Berlin, Heidelberg, New York 1968.

  6. O.Haupt, G.Axtmann undCh. Pauc, Differential- und Integralrechnung, Bd. III: Integralrechnung. Berlin 1955.

  7. H. Karcher, Schnittort und konvexe Mengen in vollständigen Riemannschen Mannigfaltigkeiten. Math. Ann.177, 105–121 (1968).

    Google Scholar 

  8. H. Karcher, Anwendungen der Alexandrowschen Winkelvergleichssätze. Manuscripta math.2, 77–102 (1970).

    Google Scholar 

  9. S.Kobayashi and K.Nomizu, Foundations of Differential Geometry, Vol. I, II. New York 1963/1969.

  10. W. A. Poor, Jr., Some results on nonnegatively curved manifolds. Dissertation State University of New York at Stony Brook 1973.

    Google Scholar 

  11. W.Rinow, Die innere Geometrie der metrischen Räume. Berlin, Göttingen, Heidelberg 1961.

Download references

Author information

Author notes

  1. Rolf Walter

    Present address: Mathematisches Institut, Universität Dortmund, 46 Dortmund-Hombruch, Postfach 500, Germany

Authors and Affiliations

    Authors
    1. Rolf Walter
      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

    Walter, R. On the metric projection onto convex sets in riemannian spaces. Arch. Math 25, 91–98 (1974). https://doi.org/10.1007/BF01238646

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01238646

    Keywords

    Search

    Navigation