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math.DG2023
The Riemannian curvature identities for the torsion connection on -manifold and generalized Ricci solitons
Stefan Ivanov, Alexander Petkov
It is shown that on compact --manifold with exterior derivative of the Lee form lying in the Lie algebra the curvature of the --torsion connection $…
math.DG2023
The Riemannian curvature identities of a connection with skew-symmetric torsion and generalized Ricci solitons
Stefan Ivanov, Nikola Stanchev
Curvature properties of the characteristic connection on an integrable manifold are investigated. We consider integrable manifold of constant type, i.e. the scalar prod…
math.DG2023
The Riemannian Bianchi identities of metric connections with skew torsion and generalized Ricci solitons
Stefan Ivanov, Nikola Stanchev
Curvature properties of a metric connection with totally skew-symmetric torsion are investigated. It is shown that if either the 3-form is harmonic, or the curvature…