3 citations · 4 across the 5 of their papers we have counts for
8 papers
Examples of biquotients whose tangent bundle is not a biquotient vector bundle
Michael Albanese, Jason DeVito, David González-Álvaro
A biquotient vector bundle is any vector bundle over a biquotient of the form for an -representation . Over most biquotients, biquotient vector bu…
Biquotient vector bundles with no inverse
Jason DeVito, David González-Álvaro
In previous work, the second author and others have found conditions on a homogeneous space which imply that, up to stabilization, all vector bundles over admit Riemann…
Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics
Igor Belegradek, David González-Álvaro
We give examples of open manifolds that carry infinitely many complete metrics of nonnegative sectional curvature such that they all have the same soul, and their isometry classes…
Vector bundles of non-negative curvature over cohomogeneity one manifolds
Manuel Amann, David González-Álvaro, Marcus Zibrowius
We provide several results on the existence of metrics of non-negative sectional curvature on vector bundles over certain cohomogeneity one manifolds and homogeneous spaces up to s…
Moduli space of metrics of nonnegative sectional or positive Ricci curvature on homotopy real projective spaces
Anand Dessai, David González-Álvaro
We show that the moduli space of metrics of nonnegative sectional curvature on every homotopy has infinitely many path components. We also show that in each dim…
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…
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…
Nonnegative curvature on stable bundles over compact rank one symmetric spaces
David González-Álvaro
In this note we show that every (real or complex) vector bundle over a compact rank one symmetric space carries, after taking the Whitney sum with a trivial bundle of sufficiently…