Refine my results

Geodesic rigidity of conformal connections on surfaces

Mettler, Thomas

In: Mathematische Zeitschrift, 2015, vol. 281, no. 1-2, p. 379-393

Shortest closed billiard orbits on convex tables

Alkoumi, Naeem ; Schlenk, Felix

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

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

Maximal metric surfaces and the Sobolev-to-Lipschitz property

Creutz, Paul ; Soultanis, Elefterios

In: Calculus of Variations and Partial Differential Equations, 2020, vol. 59, no. 5, p. 177

We find maximal representatives within equivalence classes of metric spheres. For Ahlfors regular spheres these are uniquely characterized by satisfying the seemingly unrelated notions of Sobolev-to-Lipschitz property, or volume rigidity. We also apply our construction to solutions of the Plateau problem in metric spaces and obtain a variant of the associated intrinsic disc studied by...

Voronoi-like diagrams : towards linear-time algorithms for tree-like abstract Voronoi diagrams

Junginger, Kolja ; Papadopoulou, Evanthia (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2020 ; 2020INFO013.

Computational Geometry is a subfield of Algorithm Design and Analysis with a focus on the design and analysis of algorithms related to discrete geometric objects. The Voronoi diagram is one of the most important structures in Computational Geometry providing proximity information, which is applicable to many different fields of science. For a given set of points in the plane – called sites...

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...

Isometry Lie algebras of indefinite homogeneous spaces of finite volume

Baues, Oliver ; Globke, Wolfgang ; Zeghib, Abdelghani

In: Proceedings of the London Mathematical Society, 2019, vol. 119, no. 4, p. 1115–1148

Let 𝔤 be a real finite‐dimensional Lie algebra equipped with a symmetric bilinear form ⟨·,·⟩ . We assume that ⟨·,·⟩ is nil‐invariant. This means that every nilpotent operator in the smallest algebraic Lie subalgebra of endomorphisms containing the adjoint representation of 𝔤 is an infinitesimal isometry for ⟨·,·⟩ . Among these Lie algebras are the isometry Lie...

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Bauer, Martin ; Bruveris, Martins ; Michor, Peter

In: Journal of Nonlinear Science, 2014, vol. 24, no. 5, p. 769-808

Moduli spaces of toric manifolds

Pelayo, Á. ; Pires, A. ; Ratiu, T. ; Sabatini, S.

In: Geometriae Dedicata, 2014, vol. 169, no. 1, p. 323-341

Compression for trace zero points on twisted Edwards curves

Bianco, Giulia ; Gorla, Elisa

In: Journal of Mathematical Cryptology, 2016, vol. 10, no. 1, p. 15-34