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Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers
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classification
math.ATmath.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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