A. Pigazzini

collaborators

3 papers

math.DG2025

Cohomologically Calibrated Affine Connections and Forced Irreducibility

Alexander Pigazzini, Magdalena Toda

We establish a principle of forced geometric irreducibility on product manifolds. We prove that for any product manifold $M = M_{1} \times M_{2}$ , a cohomologically calibrated affine conn…

math.DG2025

Cohomologically calibrated affine connections and the Einstein condition on $S^{2} \times T^{2}$

Alexander Pigazzini, Magdalena Toda

This paper applies the recently developed framework of cohomologically calibrated affine connections to the fundamental problem of constructing non-Riemannian Einstein manifolds. I…

math.DG2025

Positive biorthogonal curvature on $S^{2} \times T^{2}$ via affine connection

Alexander Pigazzini

We address the long-standing problem of the existence of a Riemannian metric on $S^2\times T^2$ with strictly positive biorthogonal curvature ($ K_{\text{biort}}(σ) > 0 $). Thi…

Cohomologically Calibrated Affine Connections and Forced Irreducibility

Cohomologically calibrated affine connections and the Einstein condition on S2×T2

Positive biorthogonal curvature on S2×T2 via affine connection

Cohomologically calibrated affine connections and the Einstein condition on $S^{2} \times T^{2}$

Positive biorthogonal curvature on $S^{2} \times T^{2}$ via affine connection