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math.DG2026
T^2-invariant Einstein metrics on closed 4-manifolds
Kyle Broder, Ramiro A. Lafuente
We construct -invariant Einstein metrics with positive Ricci curvature on #_m(S^2 x S^2) for every integer . These provide infinite family of Einstein metrics on closed $…
math.DG2026
Curvature of hyperbolic complex manifolds
Kyle Broder, Hervé Gaussier
The article addresses the construction and geography of negatively curved metrics on hyperbolic complex manifolds. We introduce a mechanism for constructing complete Kähler metrics…
math.DG2026
Cohomogeneity-one Einstein metrics on closed -manifolds
Kyle Broder
We classify the Einstein metrics on closed 4-manifolds whose isometry group has dimension at least 3. Consequently, we show that the cohomogeneity-one Einstein metrics on a closed…