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math.DG2023
Scalar curvature along Ebin geodesics
Christoph Böhm, Timothy Buttsworth, Brian Clarke
Let be a smooth, compact manifold and let denote the set of Riemannian metrics on with smooth volume density . For a given , we sho…
math.DG2023
Local solvability of the Poisson equation for closed -structures
Timothy Buttsworth, Artem Pulemotov
We prove local solvability of the Poisson equation with a positive or negative right-hand side for closed -structures.
math.DG2023
Ancient Ricci flows of bounded girth
Theodora Bourni, Timothy Buttsworth, Ramiro Lafuente +1
For each , we construct a 'pancake-like', -invariant ancient Ricci flow with positive curvature operator and bounded "girth", and we determine its asympt…