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math.DG2026
The Kähler-Einstein metric on the third Del Pezzo surface
Timothy Buttsworth, William Hadden, Elli Heyes +2
The compact four-dimensional manifold is known to admit a toric Kähler-Einstein metric , but the metric is not known in c…
math.DG2026
Integral Gauss formula and the Poisson equation for the -Laplacian
Timothy Buttsworth, Stepan Hudecek, Artem Pulemotov
We produce a formula, analogous to the Gauss-Codazzi equation, which relates the geometry of a -structure and its Hodge Laplacian to the geometry of the induced -struct…
math.DG2026
Incompressible Euler fluids on compact cohomogeneity one manifolds
Timothy Buttsworth, Max Orchard
Let be a connected and compact Riemannian manifold admitting an isometric action by a compact Lie group whose principal orbits have codimension one. We show th…