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Negatively curved bundles in the Igusa stable range. (arXiv:1711.11315v1 [math.GT])
来源于:arXiv
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. 查看全文>>