N. Stanchev

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math.DG2025

The Riemannian curvature identities of a $G_{2}$ connection with skew-symmetric torsion and generalized Ricci solitons

Stefan Ivanov, Nikola Stanchev

Curvature properties of the characteristic connection on an integrable $G_{2}$ manifold are investigated. We consider integrable $G_{2}$ manifold of constant type, i.e. the scalar prod…

math.DG2024

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 $T$ is harmonic, $d T = I^´ T = 0$ or the curvature…

math.DG2024

The Riemannian curvature identities on almost Calabi-Yau with torsion 6-manifold and generalized Ricci solitons

Stefan Ivanov, Nikola Stanchev

It is observed that on a compact almost complex Calabi-Yau with torsion 6-manifold the Nijenhuis tensor is parallel with respect to the torsion connection. If the torsion is closed…

The Riemannian curvature identities of a G2​ connection with skew-symmetric torsion and generalized Ricci solitons

The Riemannian Bianchi identities of metric connections with skew torsion and generalized Ricci solitons

The Riemannian curvature identities on almost Calabi-Yau with torsion 6-manifold and generalized Ricci solitons

The Riemannian curvature identities of a $G_{2}$ connection with skew-symmetric torsion and generalized Ricci solitons