40 citations · 77 across the 3 of their papers we have counts for
3 papers
math.DG2004★ 12 cited
Pinching estimates and motion of hypersurfaces by curvature functions
Ben Andrews
Second derivative pinching estimates are proved for a class of elliptic and parabolic equations, including motion of hypersurfaces by curvature functions such as quotients of eleme…
math.AP2004★ 40 cited
Fully nonlinear parabolic equations in two space variables
Ben Andrews
Hölder estimates for second derivatives are proved for solutions of fully nonlinear parabolic equations in two space variables. Related techniques extend the regularity theory for…
math.DG2003★ 25 cited
Positively curved surfaces in the three-sphere
Ben Andrews
In this talk I will discuss an example of the use of fully nonlinear parabolic flows to prove geometric results. I will emphasise the fact that there is a wide variety of geometric…