Reshetnyak's Theory of Subharmonic Metrics

Despite the fundamental role played by Reshetnyak's work in the theory of surfaces of bounded integral curvature, the proofs of his results were only available in his original articles, written in Russian and often hard to find. This situation used to be a serious problem for experts in the fie...

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Détails bibliographiques
Auteurs principaux : Fillastre Francois (Directeur de publication), Slutskiy Dmitriy (Directeur de publication)
Format : Livre
Langue : anglais
Titre complet : Reshetnyak's Theory of Subharmonic Metrics / edited by François Fillastre; Dmitriy Slutskiy
Publié : Cham : Springer , C 2023
Description matérielle : 1 vol; (XVIII-376 p.)
Sujets :
Documents associés : Autre format: Reshetnyak's Theory of Subharmonic Metrics
  • 1 Yu. G. Reshetnyak, How I got involved in research on two-dimensional manifolds of bounded curvature
  • 2 Marc Troyanov, On Alexandrov's surfaces with bounded integral curvature
  • 3 Marc Troyanov, Riemannian surfaces with simple singularities
  • 4 François Fillastre, An introduction to Reshetnyak's theory of subharmonic distances
  • 5 Yu. G. Reshetnyak, Isothermal coordinates on manifolds of bounded curvature
  • 6 Yu. G. Reshetnyak, Study of manifolds of bounded curvature using isothermal coordinates
  • 7 Yu. G. Reshetnyak, Isothermal coordinates on manifolds of bounded curvature I
  • 8 Yu. G. Reshetnyak, Isothermal coordinates on manifolds of bounded curvature II
  • 9 Yu. G. Reshetnyak, On isoperimetric property of two-dimensional manifolds with curvature bounded from above by K
  • 10 Yu. G. Reshetnyak, On a special mapping of a cone onto a polyhedron
  • 11 Yu. G. Reshetnyak, On a special mapping of a cone in a manifold of bounded curvature
  • 12 Yu. G. Reshetnyak, Arc length in manifolds of bounded curvature with an isothermal metric
  • 13 Yu. G. Reshetnyak, Turn of curves in manifolds of bounded curvature with an isothermal metric
  • 14 Alfred Huber, On the potential theoretic aspect of Alexandrov surface theory.