1 citations · 1 across the 7 of their papers we have counts for
7 papers
Explicit complete Ricci-flat metrics and Kähler-Ricci solitons on direct sum bundles
Charles Cifarelli
Let be a Kähler-Einstein Fano manifold, and be a suitable root of the canonical bundle. We give a construction of complete Calabi-Yau metrics and gradient shrinking,…
Hamiltonian -forms and new explicit Calabi--Yau metrics and gradient steady Kähler--Ricci solitons on
Vestislav Apostolov, Charles Cifarelli
For each partition of the positive integer , where and are integers, we construct a continuous -parameter family of…
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 , on certain non-compact semisimple toric f…
A new complete two-dimensional shrinking gradient Kähler-Ricci soliton
Richard H. Bamler, Charles Cifarelli, Ronan J. Conlon +1
We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of at one point. Th…
An Aubin continuity path for shrinking gradient Kähler-Ricci solitons
Charles Cifarelli, Ronan J. Conlon, Alix Deruelle
Let be a toric Kähler-Einstein Fano manifold. We show that any toric shrinking gradient Kähler-Ricci soliton on certain toric blowups of satisfies a comple…
On finite time Type I singularities of the Kähler-Ricci flow on compact Kähler surfaces
Charles Cifarelli, Ronan J. Conlon, Alix Deruelle
We show that the underlying complex manifold of a complete non-compact two-\linebreak dimensional shrinking gradient Kähler-Ricci soliton with soliton metric with…
Uniqueness of shrinking gradient Kähler-Ricci solitons on non-compact toric manifolds
Charles Cifarelli
We show that, up to biholomorphism, there is at most one complete -invariant shrinking gradient Kähler-Ricci soliton on a non-compact toric manifold . We also establish uni…