Physicists are exploring whether hidden dimensions and the shape of space could help explain why fundamental particles have ...

We study the Kähler-Ricci flow on a class of projective bundles ℙ(𝒪Σ ⊕ L) over the compact Kähler-Einstein manifold Σn. Assuming the initial Kähler metric ω₀ admits a U(1)-invariant momentum profile, ...

Let X = M × E, where M is an m-dimensional Kähler manifold with negative first Chern class and E is an n-dimensional complex torus. We obtain C∞ convergence of the normalized Kähler-Ricci flow on X to ...

Hamilton's Ricci flow is a (weakly parabolic) geometric evolution equation, which deforms a given Riemannian metric in its most natural direction. Over the last decades, it has been used to prove ...