Hung Tran

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20232026

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math.DG2026

Kähler-Ricci solitons with almost maximal symmetry

Ha Tuan Dung, Catherine Searle, Hung Tran

This paper studies a non-trivial gradient Kähler-Ricci soliton, of complex dimension $n$ , with an isometry group of dimension at least $n^{2} - 1$ . We show that the isometry group acts…

math.DG2024

Kähler Soliton Surfaces Are Generically Toric

Hung Tran

Let $(M, g, ω, f, λ)$ be a Kähler gradient Ricci soliton in real dimension four. One first observes that it is an integrable Hamiltonian system in a classical sense. Indeed, all kn…

math.DG2023

Kähler Solitons, Contact Structures, and Isoparametric Functions

Hung Tran

All known examples of simply-connected gradient Kähler-Ricci soliton in real dimension four are toric, and the symmetry is intrinsically related to the potential function $f$ and t…