Skip to main content
SpringerLink
Log in

An example of a Riemannian manifold, diffeomorphic to a Euclidean space, whose spheres of fixed radius have nonuniformly bounded volumes

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

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

Literature cited

  1. S. Helgason, Differential Geometry and Symmetric Spaces [Russian translation], Mir, Moscow (1964).

    Google Scholar 

  2. P. K. Rashevskii, Riemannian Geometry and Tensor Analysis [in Russian], Nauka, Moscow (1964).

    Google Scholar 

  3. A. A. Chumak, “The self-adjointness of the Beltrami-Laplace operator on a complete paracompact Riemann manifold without boundary,” Ukr. Mat. Zh.,25, No. 6 (1973).

Download references

Author information

Authors and Affiliations

  1. NIIASS Gosstroya Ukr. SSR, USSR

    A. A. Chumak

Authors
  1. A. A. Chumak
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhumal, Vol. 26, No. 5, pp. 691–695, September–October, 1974.

In conclusion the author expresses his thanks to V. V. Alekseevskii for his comments on the construction of the example in the remark.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chumak, A.A. An example of a Riemannian manifold, diffeomorphic to a Euclidean space, whose spheres of fixed radius have nonuniformly bounded volumes. Ukr Math J 26, 569–572 (1974). https://doi.org/10.1007/BF01085289

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085289

Keywords

Search

Navigation