C. Cifarelli

collaborators

3 papers

math.DG2025

Explicit complete Ricci-flat metrics and KÃ¤hler-Ricci solitons on direct sum bundles

Charles Cifarelli

Let $B$ be a KÃ¤hler-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.DG2024

Hamiltonian $2$ -forms and new explicit Calabi--Yau metrics and gradient steady KÃ¤hler--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.DG2024

An Aubin continuity path for shrinking gradient KÃ¤hler-Ricci solitons

Charles Cifarelli, Ronan J. Conlon, Alix Deruelle

Let $D$ be a toric KÃ¤hler-Einstein Fano manifold. We show that any toric shrinking gradient KÃ¤hler-Ricci soliton on certain toric blowups of $C \times D$ satisfies a comp…

Explicit complete Ricci-flat metrics and KÃ¤hler-Ricci solitons on direct sum bundles

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

An Aubin continuity path for shrinking gradient KÃ¤hler-Ricci solitons

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