4 citations · 5 across the 3 of their papers we have counts for
5 papers
On negatively curved bundles with hyperbolic fibers outside the Igusa stable range
Mauricio Bustamante, Francis Thomas Farrell, Yi Jiang
We prove that the Teichmüller space of negatively curved metrics on a hyperbolic manifold has nontrivial -th rational homotopy groups for some $i> \dim…
Negatively curved bundles in the Igusa stable range
Mauricio Bustamante, Francis Thomas Farrell, Yi Jiang
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…
Involution on pseudoisotopy spaces and the space of nonnegatively curved metrics
Mauricio Bustamante, Francis Thomas Farrell, Yi Jiang
We prove that certain involutions defined by Vogell and Burghelea-Fiedorowicz on the rational algebraic -theory of spaces coincide. This gives a way to compute the positive and…
Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers
Mauricio Bustamante, F. Thomas Farrell, Yi Jiang
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…
Regular Circle Actions on 2-connected 7-manifolds
Yi Jiang
We determine the homeomorphism (resp. diffeomorphism) types of those 2-connected 7-manifolds (resp. smooth 2-connected 7-manifolds) that admit regular circle actions (resp. smooth…