Timothy Buttsworth

activity

20162026

most citedOn the Ricci iteration for homogeneous metrics on spheres and projective spaces

13 citations · 13 across the 16 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.DG2021

$S U (2)$ -invariant steady gradient Ricci solitons on four-manifolds

Timothy Buttsworth

Using center manifolds and topological degree theory, we construct a new family of complete, $S U (2)$ -invariant and steady gradient Ricci solitons on the four-dimensional non-compac…

math.DG2021

The prescribed cross curvature problem on the three-sphere

Timothy Buttsworth, Artem Pulemotov

The paper studies the problem of prescribing positive cross curvature on the three-dimensional sphere. We produce several existence results and an example of non-uniqueness, dispro…

math.DG2021

$S O (2) \times S O (3)$ -invariant Ricci solitons and ancient flows on $S^{4}$

Timothy Buttsworth

Consider the standard action of $S O (2) \times S O (3)$ on $R^{5} = R^{2} \oplus R^{3}$ . We establish the existence of a uniform constant $C > 0$ so that any…

SU(2)-invariant steady gradient Ricci solitons on four-manifolds

The prescribed cross curvature problem on the three-sphere

SO(2)×SO(3)-invariant Ricci solitons and ancient flows on S4

$S U (2)$ -invariant steady gradient Ricci solitons on four-manifolds

$S O (2) \times S O (3)$ -invariant Ricci solitons and ancient flows on $S^{4}$