�ber die Geometrie der halbsymmetrischen �bertragungen

Semi-Riemannian Submanifolds of a Semi-Riemannian Manifold With a Semi-Symmetric Non-Metric Connection

“…The notion of a semi-symmetric linear connection on a differentiable manifold was initiated by Friedmann and Schouten [5] in 1924. In 1992, Agashe and Chafle [1] defined a semi-symmetric non-metric connection on a Riemannian manifold and studied the Weyl projective curvature tensor with respect this connection.…”

Some classes of Lorentzian α-Sasakian manifolds with respect to quarter-symmetric metric connection

“…The idea of a semi-symmetric linear connection on a differentiable manifold was introduced by Friedmann and Schouten ( [4]). Further, Hayden ([6]), introduced the idea of metric connection with torsion on a Riemannian manifold.…”

“…In addition, if a quarter-symmetric linear connection∇ satisfies the condition (∇ X g)(Y, Z) = 0 (1 .3) for all X, Y, Z ∈ χ(M ), where χ(M ) is the set of all differentiable vector fields on M n , then∇ is said to be quarter-symmetric metric connection. In particular, if ϕX = X and ϕY = Y ∀X, Y ∈ χ(M ), then the quarter-symmetric connection reduces to a semi-symmetric connection ( [4]). …”

Chen’s Inequalities for Submanifolds in (<i>ĸ, &#181</i>)-Contact Space Form with a Semi-Symmetric Non-Metric Connection

“…In 1924, Friedmann and Schouten [1] introduced the idea of a semi-symmetric connection on a differentiable manifold. A linear connection ∇ on a differentiable manifold M is said to be semi-symmetric connection if the torsion tensor T of the connection ∇ satisfies ( ) ( ) ( )…”