Tristan Ozuch

activity

20192026

most citedNoncollapsed degeneration of Einstein 4-manifolds II

9 citations · 13 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.DG2026

Positive Einstein metrics on infinitely many four-manifolds

Tristan Ozuch

We construct smooth Einstein metrics with positive scalar curvature on $#_{k} (S^{2} \times S^{2})$ and on $k CP^{2} # (2 k + 1) CP^{2}$ , for $k…

math.DG2026

Stability of gravitational instantons with a bounded Killing vector field

Tristan Ozuch

We prove that a complete ALF Ricci-flat 4-manifold carrying a bounded Killing vector field is linearly stable if and only if it is locally hyperkähler. This applies uniformly to al…

math.DG2026

Desingularizations of Conformally Kaehler, Einstein Orbifolds

Claude LeBrun, Tristan Ozuch

Let {(M,g_i)} be a sequence of smooth compact oriented Einstein 4-manifolds of fixed Einstein constant $λ > 0$ that Gromov-Hausdorff converges to a 4-dimensional Einstein orbifold X…