RICCI SOLITONS AND REAL HYPERSURFACES IN A COMPLEX SPACE FORM

Access this Article

Author(s)

    • KIMURA MAKOTO
    • Department of Mathematics, Faculty of Science and Engineering, Shimane University

Abstract

We prove that a real hypersurface in a non-flat complex space form does not admit a Ricci soliton whose potential vector field is the Reeb vector field. Moreover, we classify a real hypersurface admitting so-called “$\eta$-Ricci soliton” in a non-flat complex space form.

Journal

  • Tohoku Mathematical Journal, Second Series

    Tohoku Mathematical Journal, Second Series 61(2), 205-212, 2009

    Mathematical Institute, Tohoku University

Codes

  • NII Article ID (NAID)
    130003339582
  • Text Lang
    ENG
  • ISSN
    0040-8735
  • DOI
    10.2748/tmj/1245849443
  • Data Source
    J-STAGE 
Page Top