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math.DG2024
Liouville theorems for harmonic 1-forms on gradient Ricci solitons
Chenghong He, Di Wu, Xi Zhang
We prove that there is no nontrivial -integrable harmonic 1-form on noncompact complete gradient steady Ricci solitons or noncompact complete gradient shrinking Kähler-Ricci s…
nlin.SI2024
Algebraic solitons in the massive Thirring model
Jiaqi Han, Cheng He, Dmitry E. Pelinovsky
We present exact solutions describing dynamics of two algebraic solitons in the massive Thirring model. Each algebraic soliton corresponds to a simple embedded eigenvalue in the Ka…