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math.CA2023
Constructing diffeomorphisms and homeomorphisms with prescribed derivative
Paweł Goldstein, Zofia Grochulska, Piotr Hajłasz
We prove that for any measurable mapping into the space of matrices with positive determinant, there is a diffeomorphism whose derivative equals outside a set of measure le…
math.GT2023★ 2 cited
On the Gromov non-embedding theorem
Piotr Hajłasz, Armin Schikorra
We develop a new method leading to an elementary proof of a generalization of Gromov's theorem about non existence of Hölder embeddings into the Heisenberg group.