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math.CV2023
Exhaustions of circle domains
Dimitrios Ntalampekos, Kai Rajala
Koebe's conjecture asserts that every domain in the Riemann sphere is conformally equivalent to a circle domain. We prove that every domain satisfying Koebe's conjecture admits…
math.MG2023★ 5 cited
Lipschitz-Volume rigidity and Sobolev coarea inequality for metric surfaces
Damaris Meier, Dimitrios Ntalampekos
We prove that every 1-Lipschitz map from a closed metric surface onto a closed Riemannian surface that has the same area is an isometry. If we replace the target space with a non-s…
math.CV2023★ 5 cited
CNED sets: countably negligible for extremal distances
Dimitrios Ntalampekos
The author has recently introduced the class of CNED sets in Euclidean space, generalizing the classical notion of NED sets, and shown that they are quasiconformally removable. A s…