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Resultats globals: 6 registres trobats en 0.02 segons.
Articles, 6 registres trobats
Articles 6 registres trobats  
1.
25 p, 464.2 KB The minimal length product over homology bases of manifolds / Balacheff, Florent Nicolas (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Karam, Steve (Lebanese University) ; Parlier, Hugo (University of Luxembourg. Department of Mathematics)
Minkowski's second theorem can be stated as an inequality for n-dimensional flat Finsler tori relating the volume and the minimal product of the lengths of closed geodesics which form a homology basis. [...]
2021 - 10.1007/s00208-021-02150-5
Mathematische Annalen, Vol. 380, Issue 1-2 (June 2021) , p. 825-854  
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2.
22 p, 510.2 KB Bers' constants for punctured spheres and hyperelliptic surfaces / Balacheff, Florent Nicolas (Université de Lille. Laboratoire Paul Painlevé) ; Parlier, Hugo (University of Fribourg. Department of Mathematics)
The main goal of this paper is to present a proof of Buser's conjecture about Bers' constants for spheres with cusps (or marked points) and for hyperelliptic surfaces. More specifically, our main result states that any hyperbolic sphere with n cusps has a pants decomposition with all of its geodesics of length bounded by 30√2π(n-2). [...]
2012 - 10.1142/S179352531250015X
Journal of Topology and Analysis, Vol. 4, Num. 3 (September 2012) , p. 271-296  
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3.
7 p, 634.5 KB Systole growth for finite area hyperbolic surfaces / Balacheff, Florent Nicolas (Université de Lille. Laboratoire Paul Painlevé) ; Makover, Eran (Central Connecticut State University. Department of Mathematics) ; Parlier, Hugo (University of Fribourg. Department of Mathematics)
In this note, we observe that the maximum value achieved by the systole function over all complete finite area hyperbolic surfaces of a given signature is greater than a function that grows logarithmically in terms of the ratio . [...]
2014 - 10.5802/afst.1402
Annales de la Faculté des sciences de Toulouse. Mathématiques, Vol. 23, Num. 1 (2014) , p. 175-180  
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4.
32 p, 569.4 KB Short Loop Decompositions of Surfaces and the Geometry of Jacobians / Balacheff, Florent Nicolas (Université de Lille. Laboratoire Paul Painlevé) ; Parlier, Hugo (University of Fribourg. Department of Mathematics) ; Sabourau, Stéphane (Université Paris-Est Créteil. Laboratoire d'Analyse et de Mathématiques, Appliquées)
Given a Riemannian surface, we consider a naturally embedded graph which captures part of the topology and geometry of the surface. By studying this graph, we obtain results in three different directions. [...]
2012 - 10.1007/s00039-012-0147-x
Geometric and Functional Analysis, Vol. 22, Issue 1 (February 2012) , p. 37-73  
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5.
14 p, 380.7 KB Systoles and diameters of hyperbolic surfaces / Balacheff, Florent Nicolas (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Despré, Vincent (Université de Lorraine. Polytech Nancy) ; Parlier, Hugo (University of Luxembourg. Department of Mathematics)
In this article we explore the relationship between the systole and the diameter of closed hyperbolic orientable surfaces. We show that they satisfy a certain inequality, which can be used to deduce that their ratio has a (genus-dependent) upper bound.
2023 - 10.1215/21562261-2022-0040
Kyoto Journal of Mathematics, Vol. 63, Num. 1 (February 2023) , p. 211-222  
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6.
19 p, 202.1 KB Convexity of strata in diagonal pants graphs of surfaces / Aramayona, Javier ; Lecuire, Cyril ; Parlier, H. ; Shackleton, K. J.
We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analogy with the extrinsic geometric properties of strata in the Weil-Petersson completion. As a consequence, we exhibit convex flat subgraphs of every possible rank inside the diagonal pants graph.
2013 - 10.5565/PUBLMAT_57113_08
Publicacions matemàtiques, Vol. 57, Núm. 1 (2013) , p. 219-237  
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