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authIdHal_s : francois-fillastre

An introduction to Reshetnyak's theory of subharmonic distances

François Fillastre
2022
Preprints, Working Papers, ... hal-03798763v1
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Hyperbolic geometry of shapes of convex bodies

François Fillastre , Clément Debin
Groups, Geometry, and Dynamics, 2022, 16, pp.115 - 140. ⟨10.4171/ggd/642⟩
Journal articles hal-03793186v1
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A remark on one-harmonic maps from a Hadamard surface of pinched negative curvature to the hyperbolic plane

François Fillastre , Andrea Seppi
Josai Mathematical Monographs, 2021, 13, pp.63-171. ⟨10.20566/13447777_13_163⟩
Journal articles hal-03246924v2

Quasi-Fuchsian co-Minkowski manifolds

Thierry Barbot , François Fillastre
In the Tradition of Thurston, 1, Springer Cham, pp.645-703, 2020, 978-3-030-55928-1. ⟨10.1007/978-3-030-55928-1_16⟩
Book sections hal-01699475v1

A note on invariant constant curvature immersions in Minkowski space

François Fillastre , Graham Smith
Geometriae Dedicata, 2020, 206 (1), pp.75-82. ⟨10.1007/s10711-019-00477-7⟩
Journal articles hal-03793198v1
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Generalization of a formula of Wolpert for balanced geodesic graphs on closed hyperbolic surfaces

François Fillastre , Andrea Seppi
Annales Henri Lebesgue, 2020, 3, pp.873-899. ⟨10.5802/ahl.48⟩
Journal articles hal-01675473v2

Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds

François Fillastre , Dmitriy Slutskiy
Mathematische Zeitschrift, 2019, 291 (1-2), pp.149-178. ⟨10.1007/s00209-018-2076-3⟩
Journal articles hal-03794882v1
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Spherical, hyperbolic and other projective geometries: convexity, duality, transitions

François Fillastre , Andrea Seppi
Eighteen essays on non-Euclidean geometry (Vincent Albenge and Athanase Papadopoulos ed.). European Mathematical Society Publishing House., 2019
Book sections hal-01675487v2
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Group actions and scattering problems in Teichmüller theory

François Fillastre , Graham Smith
Handbook of Group Actions III, 40, International Press of Boston; Higher Education Press, pp.359--420, 2018, Advanced Lectures in Mathematics, 157146364X
Book sections hal-01316186v1
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The equivariant Minkowski problem in Minkowski space

Francesco Bonsante , François Fillastre
Annales de l'Institut Fourier, 2017, 3, pp.1035-1113. ⟨10.5802/aif.3105⟩
Journal articles hal-02980333v1

Shapes of polyhedra, mixed volumes, and hyperbolic geometry

François Fillastre , Ivan Izmestiev
Mathematika, 2017, 1, pp.124-183. ⟨10.1112/S002557931600019X⟩
Journal articles hal-02980334v1

A short elementary proof of reversed Brunn–Minkowski inequality for coconvex bodies

François Fillastre
Séminaire de Théorie Spectrale et Géométrie, 2017, 34, pp.93-96. ⟨10.5802/tsg.356⟩
Journal articles hal-03793212v1

A remark on spaces of flat metrics with cone singularities of constant sign curvatures

François Fillastre , Ivan Izmestiev
Actes du Séminaire de Théorie Spectrale et Géométrie (Grenoble), 2017, 34, pp.65-92. ⟨10.5802/tsg.355⟩
Journal articles hal-03793210v1
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Lorentzian area measures and the Christoffel problem

François Fillastre , Giona Veronelli
Annali della Scuola Normale Superiore di Pisa, 2016, 2, pp.383-467. ⟨10.2422/2036-2145.201405_010⟩
Journal articles hal-02980145v1

Hyperbolization of cusps with convex boundary

François Fillastre , Giona Veronelli , Ivan Izmestiev
Manuscripta mathematica, 2016, 3-4, pp.475-492. ⟨10.1007/s00229-015-0814-y⟩
Journal articles hal-02980144v1

Christoffel and Minkowski problems in Minkowski space

François Fillastre
Séminaire de Théorie Spectrale et Géométrie, 2015, 32, pp.97-114. ⟨10.5802/tsg.305⟩
Journal articles hal-03793217v1
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Polygons of the Lorentzian plane and spherical simplexes

François Fillastre
Elemente der Mathematik, 2014, 69 (3), pp.144--155. ⟨10.4171/EM/256⟩
Journal articles hal-00640924v2
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Fuchsian convex bodies: basics of Brunn--Minkowski theory

François Fillastre
Geometric And Functional Analysis, 2013, 23 (1), pp 295-333. ⟨10.1007/s00039-012-0205-4⟩
Journal articles hal-00654678v2
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Gauss images of hyperbolic cusps with convex polyhedral boundary

François Fillastre , Ivan Izmestiev
Transactions of the American Mathematical Society, 2011, 363 (10), pp.5481--5536. ⟨10.1090/S0002-9947-2011-05325-0⟩
Journal articles hal-00409934v1
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Fuchsian polyhedra in Lorentzian space-forms

François Fillastre
Mathematische Annalen, 2011, 350 (2), pp.417--453. ⟨10.1007/s00208-010-0563-x⟩
Journal articles hal-00131683v3
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Existence and uniqueness theorem for convex polyhedral metrics on compact surfaces

François Fillastre
Conference on metric geometry of surfaces and polyhedra, Dedicated to the 100th anniversary of N. V. Efimov, Aug 2010, Moscou, Russia. pp.208--223
Conference papers hal-00535675v1
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Hyperbolic cusps with convex polyhedral boundary

François Fillastre , Ivan Izmestiev
Geometry and Topology, 2009, 13 (1), pp.457--492. ⟨10.2140/gt.2009.13.457⟩
Journal articles hal-00167419v1
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Polyhedral hyperbolic metrics on surfaces+Erratum

François Fillastre
Geometriae Dedicata, 2008, 134, pp.177--196. ⟨10.1007/s10711-008-9252-2⟩
Journal articles hal-00201880v2
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Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces

François Fillastre
Annales de l'Institut Fourier, 2007, 57 (1), pp.163--195
Journal articles hal-00068960v2