6 citations · 8 across the 2 of their papers we have counts for
5 papers
Decomposing manifolds into Cartesian products
Slawomir Kwasik, Reinhard Schultz
The decomposability of a Cartesian product of two nondecomposable manifolds into products of lower dimensional manifolds is studied. For 3-manifolds we obtain an analog of a result…
Tangential thickness of manifolds
Sławomir Kwasik, Reinhard Schultz
Given two compact n-dimensional manifolds in the smooth, piecewise linear or topological categories, basic results of B. Mazur and others give simple criteria for determining wheth…
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…
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…
Isovariant mappings of degree 1 and the Gap Hypothesis
Reinhard Schultz
Unpublished results of S Straus and W Browder state that two notions of homotopy equivalence for manifolds with smooth group actions - isovariant and equivariant - often coincide u…