Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Characterizations of Riemannian Space Forms, Einstein Spaces and Conformally Flat Spaces

Bang-Yen Chen, Franki Dillen, Leopold Verstraelen and Luc Vrancken
Proceedings of the American Mathematical Society
Vol. 128, No. 2 (Feb., 2000), pp. 589-598
Stable URL: http://www.jstor.org/stable/119926
Page Count: 10
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Characterizations of Riemannian Space Forms, Einstein Spaces and Conformally Flat Spaces
Preview not available

Abstract

In a recent paper the first author introduced two sequences of Riemannian invariants on a Riemannian manifold M, denoted respectively by δ (n1,...,nk) and δ̂(n1,...,nk), which trivially satisfy δ (n1,...,nk)≥ δ̂(n1,...,nk). In this article, we completely determine the Riemannian manifolds satisfying the condition δ (n1,...,nk)=δ̂(n1,...,nk). By applying the notions of these δ -invariants, we establish new characterizations of Einstein and conformally flat spaces; thus generalizing two well-known results of Singer-Thorpe and Kulkarni.

Page Thumbnails

  • Thumbnail: Page 
589
    589
  • Thumbnail: Page 
590
    590
  • Thumbnail: Page 
591
    591
  • Thumbnail: Page 
592
    592
  • Thumbnail: Page 
593
    593
  • Thumbnail: Page 
594
    594
  • Thumbnail: Page 
595
    595
  • Thumbnail: Page 
596
    596
  • Thumbnail: Page 
597
    597
  • Thumbnail: Page 
598
    598