Alexander Petkov

collaborators

2 papers

math.DG2025

Parallel torsion and $G_{2}, S p in (7)$ instantons

Stefan Ivanov, Alexander Petkov, Luis Ugarte

Instanton properties of the characteristic connection $\nabla$ on an integrable $G_{2}$ manifold as well as instanton condition of the torsion connection $\nabla$ on a $S p in (7)$ mani…

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 $…

Parallel torsion and G2​,Spin(7) instantons

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

Parallel torsion and $G_{2}, S p in (7)$ instantons

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