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Isothermal Coordinates on Manifolds of Bounded Curvature I

Yu. G. Reshetnyak(deceased) ()
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Yu. G. Reshetnyak(deceased): Sobolev Institute of Mathematics

Chapter Chapter 7 in Reshetnyak's Theory of Subharmonic Metrics, 2023, pp 167-197 from Springer

Abstract: Abstract The notion of two-dimensional manifold of bounded curvature was introduced by Alexandrov in [5–7]. Two-dimensional Riemannian manifolds are particular cases of manifolds of bounded curvature. For manifolds of bounded curvature, the following notions of two-dimensional Riemannian geometry can be slightly generalized: length and integral curvature for curves, area and integral curvature of sets, geodesics (shortest arcs).

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-24255-7_7

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DOI: 10.1007/978-3-031-24255-7_7

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