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Consortium of Swiss Academic Libraries

Relative second bounded cohomology of free groups

Pagliantini, Cristina ; Rolli, Pascal

In: Geometriae Dedicata, 2015, vol. 175, no. 1, p. 267-280

Consortium of Swiss Academic Libraries

Shortest closed billiard orbits on convex tables

Alkoumi, Naeem ; Schlenk, Felix

In: Manuscripta Mathematica, 2015, vol. 147, no. 3-4, p. 365-380

Consortium of Swiss Academic Libraries

Hamiltonian Anomalies from Extended Field Theories

Monnier, Samuel

In: Communications in Mathematical Physics, 2015, vol. 338, no. 3, p. 1327-1361

Consortium of Swiss Academic Libraries

Energy and area minimizers in metric spaces

Lytchak, Alexander ; Wenger, Stefan

In: Advances in Calculus of Variations, 2017, vol. 10, no. 4, p. 407-421

Université de Fribourg

On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups

Fässler, Katrin ; Donne, Enrico Le

In: Geometriae Dedicata, 2020, p. -

This note is concerned with the geometric classification of connected Lie groups of dimension three or less, endowed with left-invariant Riemannian metrics. On the one hand, assembling results from the literature, we give a review of the complete classification of such groups up to quasi-isometries and we compare the quasi- isometric classification with the bi-Lipschitz classification. On the...

Université de Fribourg

Spaces with almost Euclidean Dehn function

Wenger, Stefan

In: Mathematische Annalen, 2019, vol. 373, no. 3, p. 1177–1210

We prove that any proper, geodesic metric space whose Dehn function grows asymptotically like the Euclidean one has asymptotic cones which are non-positively curved in the sense of Alexandrov, thus are CAT(0) . This is new already in the setting of Riemannian manifolds and establishes in particular the borderline case of a result about the sharp isoperimetric constant which implies Gromov...

Consortium of Swiss Academic Libraries

Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below

Gigli, Nicola ; Mondino, Andrea ; Rajala, Tapio

In: Journal für die reine und angewandte Mathematik (Crelles Journal), 2015, vol. 2015, no. 705, p. 233-244

Université de Fribourg

Regularity of quasi-n-harmonic mappings into NPC spaces

Guo, Chang-Yu ; Xiang, Chang-Lin

In: Annali di Matematica Pura ed Applicata (1923 -), 2019, vol. 198, no. 2, p. 367–380

We prove local Hölder continuity of quasi-n-harmonic mappings from Euclidean domains into metric spaces with non-positive curvature in the sense of Alexandrov. We also obtain global Hölder continuity of such mappings from bounded Lipschitz domains.