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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…
math.DG2017
A note on the Petersen-Wilhelm conjecture
David González-Álvaro, Marco Radeschi
In this note we consider submersions from compact manifolds, homotopy equivalent to the Eschenburg or Bazaikin spaces of positive curvature. We show that if the submersion is nontr…