Abstract
We give a geometric obstruction to the non-negativity of the sectional curvature in the total spaces of Riemannian submersions defined as pullbacks. Applications of this obstruction to several examples are given.
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L. D. Sperança was partially supported by FAPESP, Grant Numbers 2009/07953-8 and 2012/25409-6.
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Durán, C., Sperança, L.D. Rigidity of flat sections on non-negatively curved pullback submersions. manuscripta math. 147, 511–525 (2015). https://doi.org/10.1007/s00229-015-0731-0
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DOI: https://doi.org/10.1007/s00229-015-0731-0