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math.DG2017★ 1 cited
Intermediate curvatures and highly connected manifolds
Diarmuid Crowley, David Wraith
We show that after forming a connected sum with a homotopy sphere, all (2j-1)-connected 2j-parallelisable manifolds in dimension 4j+1, j > 0, can be equipped with Riemannian metric…
math.DG2014
Positive Ricci curvature on highly connected manifolds
Diarmuid Crowley, David J. Wraith
For let be a -connected closed manifold. If mod assume further that is -parallelisable. Then there is a homotopy sphe…