Skip to main content
SpringerLink
Log in

A classification of BusemannG-surfaces which possess convex functions

  • 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. Buseman, H.,The geometry of geodosics. Academic Press, New York, 1955.

    Google Scholar 

  2. Cheeger, J. &Gromoll, D., On the structure of complete manifolds of nonnegative curvature.Ann. of Math., 96 (1972), 415–443.

    Article  MathSciNet  Google Scholar 

  3. Cohn-Vossen, S., Kürzeste Wege und Totalkrummung auf Flächen.Compositio Math., 2 (1935), 63–133.

    Google Scholar 

  4. Greene, R. E. &Shiohama, K., Convex functions on complete noncompact manifolds: Topological structure.Inventiones Math., 63 (1981), 129–157.

    Article  MATH  MathSciNet  Google Scholar 

  5. Roberts-Verberg,Convex functions. Academic Press, New York, 1973.

    Google Scholar 

  6. Thorbergsson, G., Closed geodesics on non-compact Riemannian manifolds.Math. Z., 159 (1978), 245–258.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Tsukuba, Sakura-mura Ibaraki, Japan

    Nobuhiro Innami

Authors
  1. Nobuhiro Innami
    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

Innami, N. A classification of BusemannG-surfaces which possess convex functions. Acta Math 148, 15–29 (1982). https://doi.org/10.1007/BF02392724

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392724

Keywords

Search

Navigation