In: Monatshefte für Mathematik, 2015, vol. 178, no. 2, p. 171-190
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In: The Ramanujan Journal, 2015, vol. 36, no. 3, p. 483-499
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In: BIT Numerical Mathematics, 2015, vol. 55, no. 4, p. 1125-1143
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In: The Ramanujan Journal, 2015, vol. 38, no. 2, p. 383-422
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In: Systematic Biology, 2017, vol. 66, no. 6, p. 950-963
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In: Letters in Mathematical Physics, 2015, vol. 105, no. 10, p. 1427-1448
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In: International Mathematics Research Notices, 2017, vol. 2017, no. 19, p. 5897-5918
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In: Journal of Mathematical Imaging and Vision, 2015, vol. 51, no. 3, p. 378-384
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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...
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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.
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