François Fillastre

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All published works

Action	Title	Year	Authors
+	An Introduction to Reshetnyak’s Theory of Subharmonic Distances	2023	François Fillastre
+	Reshetnyak's Theory of Subharmonic Metrics	2023	François Fillastre Dmitriy Slutskiy
+	Polyhedral surfaces in flat (2+1)-spacetimes and balanced cellulations on hyperbolic surfaces	2023	François Fillastre Роман Просанов
+ PDF Chat	Hyperbolic geometry of shapes of convex bodies	2022	Clément Debin François Fillastre
+ PDF Chat	A remark on one-harmonic maps from a Hadamard surface of pinched negative curvature to the hyperbolic plane	2021	François Fillastre Andrea Seppi
+	A remark on one-harmonic maps from a Hadamard surface of pinched negative curvature to the hyperbolic plane	2021	François Fillastre Andrea Seppi
+ PDF Chat	Generalization of a formula of Wolpert for balanced geodesic graphs on closed hyperbolic surfaces	2020	François Fillastre Andrea Seppi
+	Quasi-Fuchsian Co-Minkowski Manifolds	2020	Thierry Barbot François Fillastre
+	An introduction to Reshetnyak's theory of subharmonic distances	2020	François Fillastre
+ PDF Chat	A note on invariant constant curvature immersions in Minkowski space	2019	François Fillastre Graham Smith
+ PDF Chat	Spherical, hyperbolic, and other projective geometries: convexity, duality, transitions	2019	François Fillastre Andrea Seppi
+	A note on invariant constant curvature immersions in Minkowski space	2018	François Fillastre Graham Smith
+ PDF Chat	Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds	2018	François Fillastre Dmitriy Slutskiy
+ PDF Chat	Quasi-Fuchsian co-Minkowski manifolds	2018	Thierry Barbot François Fillastre
+	A note on invariant constant curvature immersions in Minkowski space	2018	François Fillastre Graham Smith
+	Hyperbolic geometry of shapes of convex bodies	2018	Clément Debin François Fillastre
+	Quasi-Fuchsian co-Minkowski manifolds	2018	Thierry Barbot François Fillastre
+	A short elementary proof of reversed Brunn--Minkowski inequality for coconvex bodies	2017	François Fillastre
+	Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds	2017	François Fillastre Dmitriy Slutskiy
+	A remark on spaces of flat metrics with cone singularities of constant sign curvatures	2017	François Fillastre Ivan Izmestiev
+ PDF Chat	The equivariant Minkowski problem in Minkowski space	2017	Francesco Bonsante François Fillastre
+ PDF Chat	A remark on spaces of flat metrics with cone singularities of constant sign curvatures	2017	François Fillastre Ivan Izmestiev
+ PDF Chat	A short elementary proof of reversed Brunn–Minkowski inequality for coconvex bodies	2017	François Fillastre
+	A remark on spaces of flat metrics with cone singularities of constant sign curvatures	2017	François Fillastre Ivan Izmestiev
+	A short elementary proof of reversed Brunn--Minkowski inequality for coconvex bodies	2017	François Fillastre
+	Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds	2017	François Fillastre Dmitriy Slutskiy
+	SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY	2016	François Fillastre Ivan Izmestiev
+ PDF Chat	Lorentzian area measures and the Christoffel problem	2016	François Fillastre Giona Veronelli
+ PDF Chat	Hyperbolization of cusps with convex boundary	2016	François Fillastre Ivan Izmestiev Giona Veronelli
+	Group actions and scattering problems in Teichmüller theory	2016	François Fillastre Graham Smith
+	Spherical, hyperbolic and other projective geometries: convexity, duality, transitions	2016	François Fillastre Andrea Seppi
+ PDF Chat	Hyperbolization of cusps with convex boundary	2015	François Fillastre Ivan Izmestiev Giona Veronelli
+	Hyperbolization of cusps with convex boundary	2015	François Fillastre Ivan Izmestiev Giona Veronelli
+ PDF Chat	Christoffel and Minkowski problems in Minkowski space	2015	François Fillastre
+ PDF Chat	Polygons of the Lorentzian plane and spherical simplexes	2014	François Fillastre
+ PDF Chat	Shapes of polyhedra, mixed volumes, and hyperbolic geometry	2013	François Fillastre Ivan Izmestiev
+ PDF Chat	Fuchsian convex bodies: basics of Brunn–Minkowski theory	2013	François Fillastre
+	Flippable tilings of constant curvature surfaces	2012	François Fillastre Jean‐Marc Schlenker
+	Polygons of the Lorentzian plane and spherical simplexes	2011	François Fillastre
+	Polygons of the Lorentzian plane and spherical polyhedra	2011	François Fillastre
+ PDF Chat	From spaces of polygons to spaces of polyhedra following Bavard, Ghys and Thurston	2011	François Fillastre
+	Gauss images of hyperbolic cusps with convex polyhedral boundary	2011	François Fillastre Ivan Izmestiev
+	Polygons of the Lorentzian plane and spherical simplexes	2011	François Fillastre
+ PDF Chat	Fuchsian polyhedra in Lorentzian space-forms	2010	François Fillastre
+	Existence and uniqueness theorem for convex polyhedral metrics on compact surfaces	2010	François Fillastre
+	Gauss images of hyperbolic cusps with convex polyhedral boundary	2009	François Fillastre Ivan Izmestiev
+ PDF Chat	Hyperbolic cusps with convex polyhedral boundary	2008	François Fillastre Ivan Izmestiev
+ PDF Chat	Polyhedral hyperbolic metrics on surfaces	2008	François Fillastre
+ PDF Chat	Polyhedral hyperbolic metrics on surfaces	2008	François Fillastre
+	Polyhedral hyperbolic metrics on surfaces	2008	François Fillastre
+	Fuchsian polyhedra in Lorentzian space-forms	2007	François Fillastre
+ PDF Chat	Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces	2007	François Fillastre
+	Fuchsian polyhedra in Lorentzian space-forms	2007	François Fillastre
+	Réalisation de métriques sur les surfaces compactes	2006	François Fillastre
+	Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces	2006	François Fillastre

Common Coauthors

Coauthor	Papers Together
Ivan Izmestiev	11
Andrea Seppi	5
Giona Veronelli	4
Dmitriy Slutskiy	4
Graham Smith	3
Thierry Barbot	2
Clément Debin	2
Jean‐Marc Schlenker	1
Роман Просанов	1
Graham Smith	1
Francesco Bonsante	1
Thierry Barbot	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Extrinsic Geometry of Convex Surfaces	1973	А. В. Погорелов	14
+ PDF Chat	Fuchsian convex bodies: basics of Brunn–Minkowski theory	2013	François Fillastre	14
+ PDF Chat	Hyperbolic manifolds with convex boundary	2005	Jean‐Marc Schlenker	14
+ PDF Chat	Lorentz spacetimes of constant curvature	2007	Geoffrey Mess	13
+ PDF Chat	Alexandrov’s theorem, weighted Delaunay triangulations, and mixed volumes	2008	Alexander I. Bobenko Ivan Izmestiev	12
+	A characterization of compact convex polyhedra in hyperbolic 3-space	1993	Craig D. Hodgson Igor Rivin	12
+	Surfaces convexes fuchsiennes dans les espaces lorentziens � courbure constante	2000	Fran�ois Labourie Jean‐Marc Schlenker	11
+	Hyperbolic manifolds with polyhedral boundary	2001	Jean‐Marc Schlenker	11
+ PDF Chat	Hyperbolic cusps with convex polyhedral boundary	2008	François Fillastre Ivan Izmestiev	10
+	Three-Dimensional Geometry and Topology	1997	William P. Thurston Silvio Levy	10
+ PDF Chat	Shapes of polyhedra and triangulations of the sphere	1998	William P. Thurston	9
+ PDF Chat	Small deformations of polygons and polyhedra	2006	Jean‐Marc Schlenker	8
+ PDF Chat	Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes Application to the Minkowski problem in the Minkowski space	2011	Thierry Barbot François Béguin Abdelghani Zeghib	8
+ PDF Chat	Prescribing curvature on compact surfaces with conical singularities	1991	Marc Troyanov	7
+ PDF Chat	Surfaces convexes dans des espaces lorentziens à courbure constante	1996	Jean‐Marc Schlenker	7
+ PDF Chat	Minimal surfaces and particles in 3-manifolds	2007	Kirill Krasnov Jean‐Marc Schlenker	7
+ PDF Chat	Convex polyhedra in Lorentzian space-forms	2001	Jean‐Marc Schlenker	7
+ PDF Chat	Fuchsian polyhedra in Lorentzian space-forms	2010	François Fillastre	7
+ PDF Chat	A Variational Proof of Alexandrov’s Convex Cap Theorem	2008	Ivan Izmestiev	7
+ PDF Chat	The equivariant Minkowski problem in Minkowski space	2017	Francesco Bonsante François Fillastre	7
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	7
+ PDF Chat	Polyhedral hyperbolic metrics on surfaces	2008	François Fillastre	7
+ PDF Chat	Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces	2007	François Fillastre	7
+ PDF Chat	On the Theory of Coconvex Bodies	2014	Askold Khovanskiĭ Vladlen Timorin	7
+ PDF Chat	Lorentzian area measures and the Christoffel problem	2016	François Fillastre Giona Veronelli	6
+ PDF Chat	Flat spacetimes with compact hyperbolic Cauchy surfaces	2005	Francesco Bonsante	6
+ PDF Chat	Fixed points of compositions of earthquakes	2012	Francesco Bonsante Jean‐Marc Schlenker	6
+	Euclidean Structures on Simplicial Surfaces and Hyperbolic Volume	1994	Igor Rivin	6
+	Extra-large metrics	2005	Igor Rivin	6
+	Polygones du plan et polyedres hyperboliques	1992	Christophe Bavard Étienne Ghys	6
+ PDF Chat	Globally hyperbolic flat space–times	2004	Thierry Barbot	6
+ PDF Chat	Sur la rigidité de polyèdres hyperboliques en dimension $3$ : cas de volume fini, cas hyperidéal, cas fuchsien	2004	Mathias Rousset	6
+	Codazzi tensors and equations of Monge-Ampère type on compact manifolds of constant sectional curvature.	1983	Vladimir Oliker Udo Simon	6
+ PDF Chat	Andreev’s Theorem on hyperbolic polyhedra	2007	Roland K. W. Roeder John H. Hubbard William Dunbar	6
+ PDF Chat	Métriques prescrites sur le bord des variétés hyperboliques de dimension 3	1992	Franccois Labourie	5
+	Prescribing curvature on open surfaces	1992	Dominique Hulin Marc Troyanov	5
+ PDF Chat	Métriques sur les polyèdres hyperboliques convexes	1998	Jean‐Marc Schlenker	5
+	Metric Spaces of Non-Positive Curvature	1999	Martin R. Bridson André Haefliger	5
+ PDF Chat	On Codazzi Tensors on a Hyperbolic Surface and Flat Lorentzian Geometry	2015	Francesco Bonsante Andrea Seppi	5
+ PDF Chat	A geometric transition from hyperbolic to anti-de Sitter geometry	2013	Jeffrey Danciger	5
+	The geometry and topology of three-manifolds	1979	William P. Thurston	5
+ PDF Chat	Ads Manifolds With Particles and Earthquakes on Singular Surfaces	2009	Francesco Bonsante Jean‐Marc Schlenker	5
+	On hyperbolic surface tessellations and equivariant spacelike convex polyhedral surfaces in Minkowski Space	2000	Igor Iskhakov	5
+	THE COMPLEX ANALYTIC THEORY OF TEICHMÜLLER SPACES (Canadian Mathematical Society Series of Monographs and Advanced Texts)	1991	William J. Harvey	4
+	SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY	2016	François Fillastre Ivan Izmestiev	4
+ PDF Chat	Liouville equation and spherical convex polytopes	1992	Feng Luo Gang Tian	4
+ PDF Chat	Foundations of Hyperbolic Manifolds	2006	John G. Ratcliffe	4
+ PDF Chat	Hyperideal polyhedra in hyperbolic 3-space	2002	Xiliang Bao Francis Bonahon	4
+ PDF Chat	Notes on a paper of Mess	2007	Lars Andersson Thierry Barbot Riccardo Benedetti Francesco Bonsante William M. Goldman François Labourie Kevin P. Scannell Jean‐Marc Schlenker	4
+ PDF Chat	The polar dual of a convex polyhedral set in hyperbolic space.	1995	Ruth Charney Michael W. Davis	4