Stefan Ivanov

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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.DG2024

Li-Yau sub-gradient estimates and Perelman-type entropy formulas for the heat equation in quaternionic contact geometry

Stefan Ivanov, Alexander Petkov

We establish in the present paper two sub-gradient estimates for the quaternionic contact (qc) heat equation on a compact qc manifold of dimension $4 n + 3$ , provided some positivity…

Parallel torsion and G2​,Spin(7) instantons

Li-Yau sub-gradient estimates and Perelman-type entropy formulas for the heat equation in quaternionic contact geometry

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