Semi-Symmetry Properties of $S$-Manifolds Admitting a Quarter-Symmetric Metric Connection

Yıl 2020, Cilt: 2 Sayı: 2, 38 - 47, 09.12.2020

Aysel Turgut Vanlı

Öz

In this study $S$-manifolds admitting a quarter-symmetric metric connection naturally related with the $S$-structure are considered and some general results concerning the curvature of such a connection is given. In addition, we prove that an $S$-manifold has constant $f$-sectional curvature with respect to this quarter-symmetric metric connection if and only if has the same constant $f$-sectional curvature with respect to the Riemannian connection. In particular, the conditions of semi-symmetry, Ricci semi-symmetry, and projective semi-symmetry of this quarter-symmetric metric connection are investigated.

Anahtar Kelimeler

$S$-manifold, quarter-symmetric metric connection, semi-symmetry properties

Kaynakça

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