4 papers
A positively curved metric on the Gromoll-Meyer sphere
Zexuan Ouyang
We construct an explicit deformation of the bi-invariant metric on Sp(2) whose induced metrics on the Gromoll-Meyer exotic 7-sphere have positive sectional curvature for all suffic…
Metric Degenerations and Satake Compactification of Enriques Surfaces
Zexuan Ouyang
We determine the Gromov--Hausdorff compactification of the moduli space of unit-diameter Ricci-flat Kähler metrics on Enriques surfaces. We show that all metric degenerations are e…
Compactification of metric moduli space of surfaces
Zexuan Ouyang, Gang Tian
We prove a conjecture of Odaka--Oshima, which says that there is an algebraic description of the Gromov--Hausdorff compactification of all unit-diameter hyperkähler metrics on K3 s…
Collapsing of K3 Surfaces and Special Kähler Structures
Zexuan Ouyang
We study the structure of , the set of half-dimensional collapsing spaces of hyperkähler metrics on K3 surfaces. We show that consists precisely of…