Timothy Buttsworth

collaborators

5 papers

math.DG2026

Integral Gauss formula and the Poisson equation for the $G_{2}$ -Laplacian

Timothy Buttsworth, Stepan Hudecek, Artem Pulemotov

We produce a formula, analogous to the Gauss-Codazzi equation, which relates the geometry of a $G_{2}$ -structure and its Hodge Laplacian to the geometry of the induced $S U (3)$ -struct…

math.DG2026

Incompressible Euler fluids on compact cohomogeneity one manifolds

Timothy Buttsworth, Max Orchard

Let $(M, g)$ be a connected and compact Riemannian manifold admitting an isometric action by a compact Lie group $G$ whose principal orbits have codimension one. We show th…

physics.ins-det2024

Accurate transient heat flux from simple treatment of surface temperature distribution in the semi-infinite case

David Buttsworth, Timothy Buttsworth

When the variations of surface temperature are measured both spatially and temporally, analytical expressions that correctly account for multi-dimensional transient conduction can…

math.DG2024

Computationally-assisted proof of a novel $O (3) \times O (10)$ -invariant Einstein metric on $S^{12}$

Timothy Buttsworth, Liam Hodgkinson

We prove existence of a non-round Einstein metric $g$ on $S^{12}$ that is invariant under the usual cohomogeneity one action of $O (3) \times O (10)$ on $S^{12}\subse…

math.DG2024

Ancient Ricci flows of bounded girth

Theodora Bourni, Timothy Buttsworth, Ramiro Lafuente +1

For each $n \geq 3$ , we construct a 'pancake-like', $O (2) \times O (n - 1)$ -invariant ancient Ricci flow with positive curvature operator and bounded "girth", and we determine its asympt…