3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.DG2020★ 3 cited
The space of positive Ricci curvature metrics on spin manifolds
Bradley Lewis Burdick
In this note we show that the space of all metrics of positive Ricci curvature on a spin manifold of dimension 4k-1 for k at least 2 has infinitely many path components provided th…
math.DG2018
Ricci-positive metrics on connected sums of products with arbitrarily many spheres
Bradley Lewis Burdick
In this paper we construct Ricci-positive metrics on the connected sum of products of arbitrarily many spheres provided the dimensions of all but one sphere in each summand are at…
math.DG2017
Ricci-Positive Metrics on Connected Sums of Projective Spaces
Bradley Lewis Burdick
It is a well known result of Gromov that all manifolds of a given dimension with positive sectional curvature are subject to a universal bound on the sum of their Betti numbers. On…