Skip to main content
SpringerLink
Log in

A New Variational Characterization of Four-Dimensional Manifolds with Constant Scalar Curvature

  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract.

We show that a Riemannian metric on a 4-dimensional smooth manifold is of constant scalar curvature if and only if it is a critical metric of the restricted Schouten functional.

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, Zhengzhou University, Zhengzhou, 450052, People’s Republic China

    Zejun Hu

  2. Department of Computer Science, University for Science and Technology Zhengzhou, Zhengzhou, 450064, People’s Republic China

    Fan Yang

Authors
  1. Zejun Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Fan Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zejun Hu.

Additional information

Dedicated to Professor Udo Simon on the occasion of his 70th birthday

This work was supported by NSFC-10671181 and Chinese-German cooperation projects DFG PI 158/4-5.

Received: September 15, 2007. Revised: November 6, 2007. Accepted: February 2, 2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hu, Z., Yang, F. A New Variational Characterization of Four-Dimensional Manifolds with Constant Scalar Curvature. Result. Math. 52, 315–321 (2008). https://doi.org/10.1007/s00025-008-0313-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00025-008-0313-5

Mathematics Subject Classification (2000).

Keywords.

Search

Navigation