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math.DG2009
Codimension two souls and cancellation phenomena
Igor Belegradek, Slawomir Kwasik, Reinhard Schultz
For each nonnegative integer we find an open (4m+9)-dimensional simply-connected manifold admitting complete nonnegatively curved metrics whose souls are non-diffeomorphic, homeomo…
math.DG2009
Moduli spaces of nonnegative sectional curvature and non-unique souls
Igor Belegradek, Slawomir Kwasik, Reinhard Schultz
We apply various topological methods to distinguish connected components of moduli spaces of complete Riemannian metrics of nonnegative sectional curvature on open manifolds. The n…