C. Cifarelli

collaborators

3 papers

math.DG2024

Explicit complete Ricci-flat metrics and Kähler-Ricci solitons on direct sum bundles

Charles Cifarelli

Let $B$ be a Kähler-Einstein Fano manifold, and $L \to B$ be a suitable root of the canonical bundle. We give a construction of complete Calabi-Yau metrics and gradient shrinking,…

math.DG2023

Hamiltonian $2$ -forms and new explicit Calabi--Yau metrics and gradient steady Kähler--Ricci solitons on $C^{n}$

Vestislav Apostolov, Charles Cifarelli

For each partition of the positive integer $n = ℓ + \sum_{j = 1}^{ℓ} d_{j}$ , where $ℓ \geq 1$ and $d_{j} \geq 0$ are integers, we construct a continuous $(ℓ - 1)$ -parameter family of…

math.DG2023

Weighted K-stability for a class of non-compact toric fibrations

Charles Cifarelli

We study the weighted constant scalar curvature, a modified scalar curvature introduced by Lahdili depending on weight functions $(v, w)$ , on certain non-compact semisimple toric f…

Explicit complete Ricci-flat metrics and Kähler-Ricci solitons on direct sum bundles

Hamiltonian 2-forms and new explicit Calabi--Yau metrics and gradient steady Kähler--Ricci solitons on Cn

Weighted K-stability for a class of non-compact toric fibrations

Hamiltonian $2$ -forms and new explicit Calabi--Yau metrics and gradient steady Kähler--Ricci solitons on $C^{n}$