Negatively curved bundles in the Igusa stable range

Mauricio Bustamante; Francis Thomas Farrell; Yi Jiang

doi:10.1112/topo.12130

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arXiv · 1711.11315

Negatively curved bundles in the Igusa stable range

Mauricio Bustamante·Francis Thomas Farrell·Yi Jiang

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Abstract

We use classical results in smoothing theory to extract information about the rational homotopy groups of the space of negatively curved metrics on a high dimensional manifold. It is also shown that smooth M-bundles over spheres equipped with fiberwise negatively curved metrics, represent elements of finite order in the homotopy groups of the classifying space for smooth M-bundles, provided the dimension of M is large enough.

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BibTeX RIS

Mauricio Bustamante, Francis Thomas Farrell, Yi Jiang. 2019-04-24. Negatively curved bundles in the Igusa stable range. https://doi.org/10.1112/topo.12130

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