S. Ivanov

collaborators

3 papers

math.DG2025

The Riemannian curvature identities for the torsion connection on $S p in (7)$ -manifold and generalized Ricci solitons

Stefan Ivanov, Alexander Petkov

It is shown that on compact $S p in (7)$ --manifold with exterior derivative of the Lee form lying in the Lie algebra $s p in (7)$ the curvature $R$ of the $S p in (7)$ --torsion connection $…

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…

The Riemannian curvature identities for the torsion connection on Spin(7)-manifold and generalized Ricci solitons

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 for the torsion connection on $S p in (7)$ -manifold and generalized Ricci solitons

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