arxiv: 1602.01373 · v4 · pith:U5BJOO5Pnew · submitted 2016-02-03 · 🧮 math.AT · math.DG· math.GT

Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers

Mauricio Bustamante , F.Thomas Farrell , Yi Jiang This is my paper

classification 🧮 math.AT math.DGmath.GT

keywords bundlesclassescurvednonpositivelysmoothsomebundlecharacteristic

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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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Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers

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