François Fillastre defended his PhD in 2006. It was supervised by Bruno Colbois (Neuchâtel) and Jean-Marc Schlenker (Toulouse). During about ten years at Cergy Université, as a Maître de Conférence (permanent associated professor), he worked on convex isometric immersion of surfaces, that led naturally to the study of metric spaces of bounded curvature, and then to Reshetnyak's work. He is now Maître de Conférence at Université de Montpellier.
1 Translation of Reshetnyak, Isothermal coordinates on manifolds of bounded curvature, Doklady Akad. Nauk SSSR (N.S.) 94, (1954).
2 Translation of Reshetnyak, Study of manifolds of bounded curvature using isothermal coordinates, Izvestiia Sibirskogo otdeleniia Akademii nauk SSSR 10, 1959.
3 Translation of Reshetnyak, Isothermal coordinates on manifolds of bounded curvatures I, Sibirsk. Mat. Z. 1, 1960.
4 Translation of Reshetnyak, Isothermal coordinates on manifolds of bounded curvatures II, Sibirsk. Mat. Z. 1,1960.
5 Translation of Reshetnyak, On isoperimetric property of two dimensional manifolds with curvature bounded above, Vestnik Leningrad. Univ. 16 1961.
6 Translation of Reshetnyak, On a special mapping of a cone onto a polyhedron. Mat. Sb. (N.S.) 53 (95) 1961.
7 Translation of Reshetnyak, A special mapping of a cone into a manifold of bounded curvature. Sibirsk. Mat. Z. 3 1962.
8 Translation of Reshetnyak, Turn of curves in manifolds of bounded curvature with isothermal metric, Sibirsk. Mat. Z. 4, 1963.
9 Translation of Reshetnyak, Arc-length in a manifold of bounded curvature with isothermal metric, Sibirsk. Mat. Z. 4, 1963.
A Translation of Alfred Huber, On the potential theory aspect of Alexandrov surfaces theory, Commentarii Mathematici Helvetici 34, 1960.
B A translation and an up-to-date by the author of Marc Troyanov, Les courbures intégrales bornées au sens d'Alexandrov, in Annual day of the French Mathematical Society, 2009.
C A translation and an up-to-date by the author of Marc Troyanov, Surfaces riemanniennes à singularités simples, Proceedings of Symposia in pure Mathematics, vol 54 (1993), Part 2.
D François Fillastre, An introduction to Reshetnyak's theory of subharmonic distances.
E Jérôme Bertrand, Title TBA. (A survey about modern developments of theory of metrics with low regularity, probably including higher dimensions.)