output
20032026
most citedEuler and Chebyshev: From the sphere to the plane and backwards

12 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2014Show all

13 papers · 1 filter

math.GT2014

Transitional geometry

Athanase Papadopoulos, Norbert A'Campo

We develop a transitional geometry, that is, a family of geometries of constant curvatures which makes a continuous connec-tion between the hyperbolic, Euclidean and spherical geom…

math.HO2014★ 12 cited

On the works of Euler and his followers on spherical geometry

Athanase Papadopoulos

We review and comment on some works of Euler and his followers on spherical geometry. We start by presenting some memoirs of Euler on spherical trigonometry. We comment on Euler's…

math.KT2014★ 8 cited

Cohomologie des foncteurs polynomiaux sur les groupes libres

Aurélien Djament, Teimuraz Pirashvili, Christine Vespa

We show that extension groups between two polynomial functors on free groups are the same in the category of all functors and in a subcategory of polynomial functors of bounded deg…

math.MG2014★ 2 cited

On hyperbolic analogues of some classical theorems in spherical geometry

Athanase Papadopoulos, Weixu Su

We provide hyperbolic analogues of some classical theorems in spherical geometry due to Menelaus, Euler, Lexell, Ceva and Lambert. Some of the spherical results are also made more…

math.HO2014★ 4 cited

Mathematics and group theory in music

Athanase Papadopoulos

The purpose of this paper is to show through particular examples how group theory is used in music. The examples are chosen from the theoretical work and from the compositions of O…

math.GT2014

Actions of mapping class groups

Athanase Papadopoulos

This paper has three parts. The first part is a general introduction to rigidity and to rigid actions of mapping class group actions on various spaces. In the second part, we descr…

math.ST2014

Certainty bands for the conditional cumulative distribution function and applications

Sandie Ferrigno, Bernard Foliguet, Myriam Maumy-Bertrand +1

In this paper, we establish uniform asymptotic certainty bands for the conditional cumulative distribution function. To this aim, we give exact rate of strong uniform consistency f…

math.AG2014★ 1 cited

Explicit symmetric differential forms on complete intersection varieties and applications

Damian Brotbek

In this paper we study the cohomology of tensor products of symmetric powers of the cotangent bundle of complete intersection varieties in projective space. We provide an explicit…

math.MG2014★ 2 cited

On Klein's So-called Non-Euclidean geometry

Norbert A'Campo, Athanase Papadopoulos

In two papers titled "On the so-called non-Euclidean geometry", I and II, Felix Klein proposed a construction of the spaces of constant curvature -1, 0 and and 1 (that is, hyperbol…

math.GT2014

Convex real projective structures and Hilbert metrics

Inkang Kim, Athanase Papadopoulos

We review some basic concepts related to convex real projective structures from the differential geometry point of view. We start by recalling a Riemannian metric which originates…

math.MG2014

From Funk to Hilbert Geometry

Athanase Papadopoulos, Marc Troyanov

We survey some basic geometric properties of the Funk metric of a convex set in . In particular, we study its geodesics, its topology, its metric balls, its convexity…

math.DG2014

Affine transformations and parallel lightlike vector fields on compact Lorentzian -manifolds

Charles Boubel, Pierre Mounoud

We describe the compact Lorentzian -manifolds admitting a parallel lightlike vector field. The classification of compact Lorentzian -manifolds admitting non-isometric affine…

math.AP2014

A well-balanced scheme for two-fluid flows in variable cross-section ducts

Philippe Helluy, Jonathan Jung

We propose a finite volume scheme for computing two-fluid flows in variable cross-section ducts. Our scheme satisfies a well-balanced property. It is based on the VFRoe approach. T…