Ben Andrews

activity

20102016

most citedEmbedded constant mean curvature tori in the three-sphere

11 citations · 20 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.DG2016

A Heat Flow for Diffeomorphisms of Flat Tori

Ben Andrews, Anthony Carapetis

In this paper we study the parabolic evolution equation $\partial_{t} u = (∣ D u ∣^{2} + 2∣ det D u ∣)^{- 1} Δ u$ , where $u : M \times [0, \infty) \to N$ is an evolving map between compact flat su…

math.DG2012★ 6 cited

$F$ -stability for self-shrinking solutions to mean curvature flow

Ben Andrews, Haizhong Li, Yong Wei

In this paper, we formulate the notion of the $F$ -stability of self-shrinking solutions to mean curvature flow in arbitrary codimension. Then we give some classifications…

math.DG2012★ 11 cited

Embedded constant mean curvature tori in the three-sphere

Ben Andrews, Haizhong Li

We prove that any constant mean curvature embedded torus in the three dimensional sphere is axially symmetric, and use this to give a complete classification of such surfaces for a…

A Heat Flow for Diffeomorphisms of Flat Tori

F-stability for self-shrinking solutions to mean curvature flow

Embedded constant mean curvature tori in the three-sphere

$F$ -stability for self-shrinking solutions to mean curvature flow