Ricci solitons and odd-dimensional spheres

• Jong Taek Cho ^[1]
  1. [1] Chonnam National University

     Chonnam National University

     Corea del Sur

     
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 160, Nº 4, 2010, págs. 347-357
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • As a real hypersurface in a complex space, we prove two criterion inequalities for an odd-dimensional sphere in terms of the shape operator, the Reeb vector field and its associated 1-form. Also, we determine a real hypersurface in a complex space which admits a Ricci soliton with the Reeb vector field the potential vector field.