Keaton Naff

activity

20192022

most citedShrinking Ricci solitons with positive isotropic curvature

2 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.DG2022

Moving monotonicity formulae for minimal submanifolds in constant curvature

Keaton Naff, Jonathan J. Zhu

We discover new monotonicity formulae for minimal submanifolds in space forms, which imply the sharp area bound for minimal submanifolds through a prescribed point in a geodesic ba…

math.DG2021

Uniqueness of compact ancient solutions to the higher dimensional Ricci flow

Simon Brendle, Panagiota Daskalopoulos, Keaton Naff +1

In this paper, we study the classification of $κ$ -noncollapsed ancient solutions to n-dimensional Ricci flow on $S^{n}$ , extending the result in [13] to higher dimensions. We prove t…

math.DG2019

Singularity models of pinched solutions of mean curvature flow in higher codimension

Keaton Naff

We consider ancient solutions to the mean curvature flow in $R^{n + 1}$ ( $n \geq 3$ ) that are weakly convex, uniformly two-convex, and satisfy derivative estimates $|\nabla…

math.DG2019

A planarity estimate for pinched solutions of mean curvature flow

Keaton Naff

We show that the blow-ups of compact solutions to the mean curvature flow in $R^{N}$ initially satisfying the pinching condition $∣ A ∣^{2} < c ∣ H ∣^{2}$ for a suitable constant $c…

math.DG2019★ 2 cited

Shrinking Ricci solitons with positive isotropic curvature

Keaton Naff

We show that in dimensions $n \geq 12$ , a non-flat complete gradient shrinking solitons with uniformly positive isotropic curvature (PIC) must be a quotient of either the round sph…