Abstract
In this note, we answer positively a question by Belegradek and Kapovitch about the relation between rational homotopy theory and a problem in Riemannian geometry which asks that total spaces of which vector bundles over compact non–negative curved manifolds admit (complete) metrics with non–negative curvature.
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The first author is partially supported by the NSFC Projects 10071087, 19701032
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Pan, J.Z., Wu, S.B. Rational Homotopy Theory and Nonnegative Curvature. Acta Math Sinica 22, 23–26 (2006). https://doi.org/10.1007/s10114-004-0466-4
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DOI: https://doi.org/10.1007/s10114-004-0466-4