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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 , with an isometry group of dimension at least . We show that the isometry group act…
math.DG2024
Positive curvature and discrete abelian symmetry
Lee Kennard, Elahe Khalili Samani, Catherine Searle
By replacing the torus with an elementary abelian two-group, we generalize the maximal symmetry result of Grove and Searle and the half-maximal symmetry result of Wilking for posit…