119 citations · 1k across the 83 of their papers we have counts for
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math.DG2008★ 2 cited
Classification of Almost Quarter-Pinched Manifolds
Peter Petersen, Terence Tao
We show that if a simply connected manifold is almost quarter pinched then it is diffeomorphic to a CROSS (a compact rank one symmetric space) or a sphere.
math.DG2006★ 21 cited
Perelman's proof of the Poincaré conjecture: a nonlinear PDE perspective
Terence Tao
We discuss some of the key ideas of Perelman's proof of Poincaré's conjecture via the Hamilton program of using the Ricci flow, from the perspective of the modern theory of nonline…
math.DG2002
A singularity removal theorem for Yang-Mills fields in higher dimensions
Terence Tao, Gang Tian
In four and higher dimensions, we show that any stationary admissible Yang-Mills field can be gauge transformed to a smooth field if the norm of the curvature is sufficiently…