Actes des rencontres du CIRM

[1] Alexander D. Alexandrov Existence of a convex polyhedron and of a convex surface with a given metric, Mat. Sbornik, N. Ser., Tome 11(53) (1942), pp. 15-65 ((Russian. English summary))

[2] Michael T. Anderson Scalar curvature and the existence of geometric structures on 3-manifolds. I, J. Reine Angew. Math., Tome 553 (2002), pp. 125-182 | Article

[3] Michael T. Anderson Scalar curvature and the existence of geometric structures on 3-manifolds. II, J. Reine Angew. Math., Tome 563 (2003), pp. 115-195 | Article

[4] Arthur L. Besse Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), Tome 10, Springer-Verlag, Berlin, 1987, xii+510 pages

[5] Wilhelm Blaschke; Gustav Herglotz Über die Verwirklichung einer geschlossenen Fläche mit vorgeschriebenem Bogenelement im Euklidischen Raum, Sitzungsber. Bayer. Akad. Wiss., Math.-Naturwiss. Abt., Tome No.2 (1937), p. 229-230

[6] Alexander I. Bobenko; Ivan Izmestiev Alexandrov’s theorem, weighted Delaunay triangulations, and mixed volumes, Ann. Inst. Fourier (Grenoble), Tome 58 (2008) no. 2, pp. 447-505

[7] Eugenio Calabi On compact, Riemannian manifolds with constant curvature. I, Proc. Sympos. Pure Math., Vol. III, American Mathematical Society, Providence, R.I., 1961, pp. 155-180

[8] Jeff Cheeger; Werner Müller; Robert Schrader On the curvature of piecewise flat spaces, Comm. Math. Phys., Tome 92 (1984) no. 3, pp. 405-454

[9] Daryl Cooper; Igor Rivin Combinatorial scalar curvature and rigidity of ball packings, Math. Res. Lett., Tome 3 (1996) no. 1, pp. 51-60 | Article

[10] François Fillastre; Ivan Izmestiev Hyperbolic cusps with convex polyhedral boundary, Geom. Topol., Tome 13 (2009) no. 1, pp. 457-492 | Article

[11] David Glickenstein Discrete conformal variations and scalar curvature on piecewise flat two- and three-dimensional manifolds, J. Differential Geom., Tome 87 (2011) no. 2, pp. 201-237 http://projecteuclid.org/getRecord?id=euclid.jdg/1304514973

[12] Ivan Izmestiev The Colin de Verdière number and graphs of polytopes, Israel J. Math., Tome 178 (2010), pp. 427-444 | Article

[13] Ivan Izmestiev Examples of infinitesimally flexible 3–dimensional hyperbolic cone-manifolds, J. Math. Soc. Japan, Tome 63 (2011) no. 2, pp. 581-598

[14] Ivan Izmestiev Infinitesimal rigidity of convex polyhedra through the second derivative of the Hilbert-Einstein functional, Canad. J. Math., Tome 66 (2014) no. 4, pp. 783-825

[15] Ivan Izmestiev; Jean-Marc Schlenker Infinitesimal rigidity of polyhedra with vertices in convex position, Pacific J. Math., Tome 248 (2010) no. 1, pp. 171-190 | Article

[16] Norihito Koiso Nondeformability of Einstein metrics, Osaka J. Math., Tome 15 (1978) no. 2, pp. 419-433 http://projecteuclid.org/getRecord?id=euclid.ojm/1200771282

[17] Rafe Mazzeo; Grégoire Montcouquiol Infinitesimal rigidity of cone-manifolds and the Stoker problem for hyperbolic and Euclidean polyhedra, J. Differential Geom., Tome 87 (2011) no. 3, pp. 525-576 http://projecteuclid.org/getRecord?id=euclid.jdg/1312998235

[18] Tullio Regge General relativity without coordinates, Nuovo Cimento, Tome 19 (1961), pp. 558-571

[19] Stefan Sechelmann Alexandrov’s Polyhedron Editor, Java Web Start application (http://page.math.tu-berlin.de/ sechel/webstart/AlexandrovPolyhedron.jnlp)

[20] André Weil On discrete subgroups of Lie groups, Ann. of Math. (2), Tome 72 (1960), pp. 369-384

[21] Hartmut Weiss The deformation theory of hyperbolic cone-3-manifolds with cone-angles less than $2\pi$, Geom. Topol., Tome 17 (2013), 329–367 pages

[22] Hidehiko Yamabe On a deformation of Riemannian structures on compact manifolds, Osaka Math. J., Tome 12 (1960), pp. 21-37