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math.DG2018
Open manifolds with non-homeomorphic positively curved souls
David González-Álvaro, Marcus Zibrowius
We extend two known existence results to simply connected manifolds with positive sectional curvature: we show that there exist pairs of simply connected positively-curved manifold…
math.DG2017
The stable converse soul question for positively curved homogeneous spaces
David González-Álvaro, Marcus Zibrowius
The stable converse soul question (SCSQ) asks whether, given a real vector bundle \(E\) over a compact manifold, some stabilization \(E\times\R^k\) admits a metric with non-negativ…