activity
20172021
collaborators

7 papers

math.DG2022

Canonical surgeries in rotationally invariant Ricci flow

Timothy Buttsworth, Maximilien Hallgren, Yongjia Zhang

We construct a rotationally invariant Ricci flow through surgery starting at any closed rotationally invariant Riemannian manifold. We demonstrate that a sequence of such Ricci flo…

math.DG2021

-invariant Ricci solitons and ancient flows on

Timothy Buttsworth

Consider the standard action of on . We establish the existence of a uniform constant so that any…

math.DG2020

Prescribing Ricci curvature on a Product of Spheres

Timothy Buttsworth, Anusha M. Krishnan

We prove an existence result for the prescribed Ricci curvature equation for certain doubly warped product metrics on , where $d_i \geq 2…

physics.ins-det2020

Deducing Flux from Single Point Temperature History when Relative Spatial Variation of Flux is Prescribed

David Buttsworth, Timothy Buttsworth

Surface heat transfer in convective and radiative environments is sometimes measured by recording the surface temperature history in a transient experiment and interpreting this su…

math.DG2019

Local Stability of Einstein Metrics Under the Ricci Iteration

Timothy Buttsworth, Maximilien Hallgren

We provide a sufficient condition for the local stability of closed Einstein manifolds of positive Ricci curvature under the Ricci iteration in terms of the spectrum of the Lichner…

math.DG2018

Cohomogeneity-One Quasi-Einstein Metrics

Timothy Buttsworth

Let be a connected, simply connected homogeneous space of a compact Lie group . We study -invariant quasi-Einstein metrics on the cohomogeneity one manifold $G/H\times…