62 citations · 64 across the 2 of their papers we have counts for
4 papers · 1 filter
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.
An exotic sphere with positive sectional curvature
Peter Petersen, Frederick Wilhelm
We show that there is a metric on the Gromoll-Meyer sphere with positive sectional curvature.
Rigidity of gradient Ricci Solitons
Peter Petersen, William Wylie
We define a gradient Ricci soliton to be rigid if it is a flat bundle where is Einstein. It is known that not all gradient solitons are rigid. Here…
On gradient Ricci solitons with Symmetry
Peter Petersen, William Wylie
We study gradient Ricci solitons with maximal symmetry. First we show that there are no non-trivial homogeneous gradient Ricci solitons. Thus the most symmetry one can expect is an…