Curvature properties of a semi-symmetric metric connection on S-manifolds

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Akyol M. A., VANLI A., Fernández L. M.

Annales Polonici Mathematici, vol.107, no.1, pp.71-86, 2012 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 107 Issue: 1
  • Publication Date: 2012
  • Doi Number: 10.4064/ap107-1-5
  • Journal Name: Annales Polonici Mathematici
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.71-86
  • Keywords: S-manifold, Semi-symmetric metric connection, Semi-symmetry properties
  • Open Archive Collection: AVESIS Open Access Collection
  • Uşak University Affiliated: No

Abstract

In this study, S-manifolds endowed with a semi-symmetric metric connection naturally related with the S-structure are considered and some curvature properties of such a connection are given. In particular, the conditions of semi-symmetry, Ricci semisymmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated. © Instytut Matematyczny PAN, 2013.