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An obstructions to Non-negative curvature on Bundles with Pull-back connections
nonegative sectional curvature riemannian submersions exotic spheres
2012/6/30
Motivated to study the geometry of the exotic spheres constructed in [5], we derive a necessary condition for non-negative sectional curvature in certain total spaces of Riemannian submersions with to...
Skinning measures in negative curvature and equidistribution of equidistant submanifolds
Mixing equidistribution rate of mixing decay of correlation negative curvature
2012/3/1
Let C be a locally convex subset of a negatively curved Riemannian manifold M. We define the skinning measure on the outer unit normal bundle to C in M by pulling back Patterson-Sullivan's measures at...