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Paper   IPM / M / 15535
School of Mathematics
  Title:   Global homeomorphism of nonsmooth mappings using pseudo-Jacobian on Riemannian manifolds
  Author(s):  Elham Ghahraei
  Status:   Published
  Journal: Rend. Circ. Mat. Palermo
  Year:  2018
  Pages:   DOI: 10.1007/s12215-018-0390-6
  Supported by:  IPM
We study the global homeomorphism of a continuous nonsmooth mappings between Riemannian manifolds which may be non-locally Lipschitz. To this end, we use the notion of pseudo-Jacobian map associated to f : M �?? N where M and N are Riemannian manifolds and we consider a related index of regularity for f . We obtain a characterization of global homeomorphisms in terms of its index of regularity.

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