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arXiv · 1602.01373

Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers

Mauricio Bustamante·F. Thomas Farrell·Yi Jiang
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Abstract

We prove vanishing results for the generalized Miller-Morita-Mumford classes of some smooth bundles whose fiber is a closed manifold that supports a nonpositively curved Riemannian metric. We also find, under some extra conditions, that the vertical tangent bundle is topologically rigid.

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Mauricio Bustamante, F. Thomas Farrell, Yi Jiang. 2016-02-03. Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers. https://doi.org/10.1112/jtopol%2Fjtw015

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