and Lipschitz structures on products of manifolds
arXiv:math/0507340
Abstract
The topological condition for the existence of a structure on the product of two Riemannian manifolds is derived and applied to construct examples of manifolds having the weaker Lipschitz structure, but no structure. An example of a five-dimensional manifold with this property is given; it is pointed out that there are no manifolds of lower dimension with this property.
10 pages