6 papers
The invariant as a discriminant for the survival of the H-flux under T-duality on product manifolds
Alexander Pigazzini, Magdalena Toda
We show that the cohomological invariant , introduced in [1] as a lower bound for the off-diagonal holonomy dimension of metric connections with totally skew torsion on p…
Local Topological Constraints on Berry Curvature in Spin--Orbit Coupled BECs
Alexander Pigazzini, Magdalena Toda
We establish a local topological obstruction to flattening Berry curvature in spin-orbit-coupled Bose-Einstein condensates (SOC BECs), valid even when the global Chern number vanis…
Cohomological Calibration and Curvature Constraints on Product Manifolds: A Topological Lower Bound
Alexander Pigazzini, Magdalena Toda
We establish a quantitative relationship between mixed de Rham classes and the geometric complexity of metric connections with totally skew torsion on product manifolds where both…
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 , a cohomologically calibrated affine conn…
Cohomologically calibrated affine connections and the Einstein condition on
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…
Einstein warped-product manifolds and the screened Poisson equation
Alexander Pigazzini, Luca Lussardi, Magdalena Toda +1
We study a particular type of Einstein warped-product manifold where the warping function must satisfy the homogeneous version of the screened Poisson equation. Under these assumpt…