Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers

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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Bibliographic Details
Published in:arXiv.org 2016-04
Main Authors: Bustamante, Mauricio, Farrell, F Thomas, Jiang, Yi
Format: Article
Language:English
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1602.01373