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...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2023, 2023
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| Edition: | 1st ed. 2023 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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