Browsing Department of Mathematics by Journals "Annales de l'Institut Fourier"
Now showing items 1-2 of 2
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Extending Whitney's extension theorem: nonlinear function spaces
(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
(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 ...