Friday, June 2, 2023 1pm
Speaker: Charles Cifarelli, University of Nantes
Title: Steady gradient Kahler-Ricci solitons on C^n
Abstract: I will present a new construction of complete steady gradient Kahler-Ricci solitons on C^n, using the theory of hamiltonian 2 forms, introduced by Apostolov-Calderbank-Gauduchon-Tonnesen-Friedman, as an Ansatz. The metrics come in families of two types with distinct geometric behavior, which we call Cao type and Taub-NUT type. In particular, the Cao type and Taub-NUT type families have a volume growth rate of r^n and r^{2n-1}, respectively. Moreover, each Taub-NUT type family contains complete Ricci-flat metrics. This is joint work with V. Apostolov.
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