N. Stanchev

collaborators

3 papers

math.DG2023

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.DG2023

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…

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 $T$ is harmonic, $d T = δ T = 0$ or the curvature…

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

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

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

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