Skip to main content
SpringerLink
Log in

Spacelike hypersurfaces with constant scalar curvature

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract:

In this paper, we shall give an integral equality by applying the operator □ introduced by S.Y. Cheng and S.T. Yau [7] to compact spacelike hypersurfaces which are immersed in de Sitter space S n +1 1(c) and have constant scalar curvature. By making use of this integral equality, we show that such a hypersurface with constant scalar curvature n(n-1)r is isometric to a sphere if r << c.

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

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Josai University, Saitama,¶Sakado 350-0248, Japan. e-mail: cheng@math.josai.ac.jp, , , , , , JP

    Qing-Ming Cheng

  2. Department of Mathematics, Saga University, Saga 840-0027, Japan.¶e-mail: ishikawa@ms.saga-u.ac.jp, , , , , , JP

    Susumu Ishikawa

Authors
  1. Qing-Ming Cheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Susumu Ishikawa
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 18 December 1996 / Revised version: 26 November 1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cheng, QM., Ishikawa, S. Spacelike hypersurfaces with constant scalar curvature . manuscripta math. 95, 499–505 (1998). https://doi.org/10.1007/s002290050043

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002290050043

Search

Navigation