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Reshetnyak's Theory of Subharmonic Metrics by François Fillastre (editor), Dmitriy Slutskiy (editor) is a nonfiction available to read on EtoBox.

What is Reshetnyak's Theory of Subharmonic Metrics about?

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 field. This book provides English translations of the full set of Reshetnyak's articles on the subject. Together with the companion articles, this book provides an accessible and comprehensive reference for the subject. In turn, this book should concern any researcher (confirmed or not) interested in, or active in, the field of bounded integral curvature surfaces, or more generally interested in surface geometry and geometric analysis. Due to the analytic nature of Reshetnyak's approach, it appears that his articles are very accessible for a modern audience, comparing to the works using a more synthetic approach. These articles of Reshetnyak concern more precisely the work carried by the author following the completion of his PhD thesis, under the supervision of A.D. Alexandrov. Over the period from the 1940’s to the 1960’s, the Leningrad School of Geometry, developed a theory of the metric geom

Who reads Reshetnyak's Theory of Subharmonic Metrics?

Author

François Fillastre (editor), Dmitriy Slutskiy (editor)

Publisher

Springer International Publishing AG

Published

2023

Language

EN

ISBN

9783031242557

Category

nonfiction

Subjects

Mathematics, Stem