2 papers
math.DS2023
Upper bounds for the Hausdorff dimension of Weierstrass curves
Ted Alexander, Tommy Murphy
We produce an upper bound for the Hausdorff dimension of the graph of a Weierstrass-type function. Whilst strictly weaker than existing results, it has the advantage of being direc…
math.DG2022
Quasi-Einstein metrics on sphere bundles
Solomon Huang, Tommy Murphy, Thanh Nhan Phan
In this note we adapt the work of Hall to find quasi-Einstein metrics on sphere bundles over products of Fano Kaehler-Einstein manifolds, as well as bundles where only one end is b…