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Consortium of Swiss Academic Libraries

Divergent Integrals, Residues of Dolbeault Forms, and Asymptotic Riemann Mappings

Felder, Giovanni ; Kazhdan, David

In: International Mathematics Research Notices, 2017, vol. 2017, no. 19, p. 5897-5918

Consortium of Swiss Academic Libraries

A Compact Formula for the Derivative of a 3-D Rotation in Exponential Coordinates

Gallego, Guillermo ; Yezzi, Anthony

In: Journal of Mathematical Imaging and Vision, 2015, vol. 51, no. 3, p. 378-384

Université de Fribourg

Morrey’s 𝜖-conformality lemma in metric spaces

Fitzi, Martin ; Wenger, Stefan

In: Proceedings of the American Mathematical Society, 2020, vol. 148, no. 10, p. 4285–4298

We provide a simpler proof and slight strengthening of Morrey's famous lemma on $ \varepsilon $-conformal mappings. Our result more generally applies to Sobolev maps with values in a complete metric space, and we obtain applications to the existence of area minimizing surfaces of higher genus in metric spaces. Unlike Morrey's proof, which relies on the measurable Riemann mapping theorem, we...

Université de Fribourg

The Regge symmetry, confocal conics, and the Schläfli formula

Akopyan, Arseniy ; Izmestiev, Ivan

In: Bulletin of the London Mathematical Society, 2019, p. blms.12276

The Regge symmetry is a set of remarkable relations between two tetrahedra whose edge lengths are related in a simple fashion. It was first discovered as a consequence of an asymptotic formula in mathematical physics. Here, we give a simple geometric proof of Regge symmetries in Euclidean, spherical, and hyperbolic geometry.