An Introduction to Reshetnyak’s Theory of Subharmonic Distances

François Fillastre ()
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François Fillastre: Université de Montpellier, IMAG

Chapter Chapter 4 in Reshetnyak's Theory of Subharmonic Metrics, 2023, pp 47-145 from Springer

Abstract: Abstract The aim of the present text is to provide some basics around Reshetnyak’s theory of subharmonic distances on surfaces, together with an overview of the main results. While subharmonic distances are often confused with two-dimensional manifolds of bounded curvature, we present them as a complete autonomous theory. In turn, there is no specific prerequisite for the present text.

Keywords: Subharmonic metrics; Alexandrov surfaces; Conformal metrics; Curves of bounded rotation; Plane potential theory; Riemann surfaces (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-24255-7_4

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DOI: 10.1007/978-3-031-24255-7_4

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