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math.DG2018★ 3 cited
Strong Sard Conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3
A Belotto da Silva, A Figalli, A Parusiński +1
In this paper we prove the strong Sard conjecture for sub-Riemannian structures on 3-dimensional analytic manifolds. More precisely, given a totally nonholonomic analytic distribut…
math.DG2016★ 2 cited
Moser's theorem on manifolds with corners
Martins Bruveris, Peter W. Michor, Adam Parusinski +1
Moser's theorem (1965) states that the diffeomorphism group of a compact manifold acts transitively on the space of all smooth positive densities with fixed volume. Here we describ…
math.DG2014★ 5 cited
Lifting differentiable curves from orbit spaces
Adam Parusinski, Armin Rainer
Let be a real finite dimensional orthogonal representation of a compact Lie group, let , where $σ_1,…