Ricci solitons in manifolds with quasi-constant curvature

• Autores: Cornelia Livia Bejan, Mircea Crasmareanu
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 1, 2011, pág. 16
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4797
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• Resumen

  • The Eisenhart problem of nding parallel tensors treated already in the framework of quasi-constant curvature manifolds in [Jia] is reconsidered for the symmetric case and the result is interpreted in terms of Ricci solitons. If the generator of the manifold provides a Ricci soliton then this is i) expanding on para-Sasakian spaces with constant scalar curvature and vanishing D-concircular tensor eld and ii) shrinking on a class of orientable quasi-umbilical hypersurfaces of a real projective space=elliptic space form.