Skip to main content
SpringerLink
Log in

The scalar curvature of minimal hypersurfaces in spheres

  • 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. Cheng, S.Y., Yau, S.T.: Hypersurfaces with constant scalar curvature. Math. Ann.225, 195–204 (1977)

    Google Scholar 

  2. Chern, S.S., do Carmo, M., Kobayashi, S.: Minimal submanifolds of a sphere with second fundamental form of constant length. In: Functional analysis and related fields, pp. 59–75. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  3. Doi, N.: On compact minimal hypersurfaces in a sphere with constant scalar curvature. Nagoya. Math. J.78, 177–188 (1980)

    Google Scholar 

  4. Lawson, H.B.: Local rigidity theorems for minimal hypersurfaces. Ann. Math.89, 187–197 (1969)

    Google Scholar 

  5. Peng, C.K., Terng, C.L.: Minimal hypersurface of spheres with constant scalar curvature. Ann. Math. Study (to appear)

  6. Simons, J.: Minimal varieties in a Reimannian manifolds. Ann. Math.88, 62–105 (1968)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Science and Technology of China, HeFei, Anhui, China

    Chia-Kuei Peng

  2. Department of Mathematics, Northeastern University, 02115, Boston, MA, USA

    Chuu-Lian Terng

Authors
  1. Chia-Kuei Peng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chuu-Lian Terng
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work done under partial support of SFB 40, University of Bonn, Federal Republic of Germany

Rights and permissions

Reprints and permissions

About this article

Cite this article

Peng, CK., Terng, CL. The scalar curvature of minimal hypersurfaces in spheres. Math. Ann. 266, 105–113 (1983). https://doi.org/10.1007/BF01458707

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458707

Keywords

Search

Navigation