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

Mehmet Akif Akyol; Aysel Turgut Vanli; Luis M. Fernández

Annales Polonici Mathematici (2013)

  • Volume: 107, Issue: 1, page 71-86
  • ISSN: 0066-2216

Abstract

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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 semi-symmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated.

How to cite

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Mehmet Akif Akyol, Aysel Turgut Vanli, and Luis M. Fernández. "Curvature properties of a semi-symmetric metric connection on S-manifolds." Annales Polonici Mathematici 107.1 (2013): 71-86. <http://eudml.org/doc/280982>.

@article{MehmetAkifAkyol2013,
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 semi-symmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated.},
author = {Mehmet Akif Akyol, Aysel Turgut Vanli, Luis M. Fernández},
journal = {Annales Polonici Mathematici},
keywords = {S-manifold; semi-symmetric metric connection; semi-symmetry properties},
language = {eng},
number = {1},
pages = {71-86},
title = {Curvature properties of a semi-symmetric metric connection on S-manifolds},
url = {http://eudml.org/doc/280982},
volume = {107},
year = {2013},
}

TY - JOUR
AU - Mehmet Akif Akyol
AU - Aysel Turgut Vanli
AU - Luis M. Fernández
TI - Curvature properties of a semi-symmetric metric connection on S-manifolds
JO - Annales Polonici Mathematici
PY - 2013
VL - 107
IS - 1
SP - 71
EP - 86
AB - 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 semi-symmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated.
LA - eng
KW - S-manifold; semi-symmetric metric connection; semi-symmetry properties
UR - http://eudml.org/doc/280982
ER -

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