• Extending Whitney's extension theorem: nonlinear function spaces 

      Roberts, David M.; Schmeding, Alexander (Journal article; Peer reviewed, 2021)
      We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains , with non-smooth boundary, in possibly non-compact manifolds. Assuming is a submanifold with ...
    • Horizontal holonomy and foliated manifolds 

      Chitour, Yacine; Grong, Erlend; Jean, Frederic; Kokkonen, Petri (Journal article; Peer reviewed, 2019)
      We introduce horizontal holonomy groups, which are groups defined using parallel transport only along curves tangent to a given subbundle D of the tangent bundle. We provide explicit means of computing these holonomy groups ...