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20242026
most citedEinstein warped-product manifolds and the screened Poisson equation

1 citations · 1 across the 6 of their papers we have counts for

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math.DG2025

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…

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 , a cohomologically calibrated affine conn…

math.DG2025

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…

math.DG2025

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…