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vls/2603nrwcece.visuallibrary.netvdDiscrete isothermic surfaces in Lie sphere geometryCho, JosephVerfasserautNaokawa, KosukeVerfasserautOgata, YutaVerfasserautPember, MasonVerfasserautRossman, Wayne1965-VerfasserautYasumoto, MasashiVerfasserauttextTextbookszXA-CHCham, SwitzerlandSpringer[2025]2025monographicengprintxi, 235 Seiten : Illustrationen, Diagrammeohne Hilfsmittel zu benutzenBandChapter 1. Introduction -- Chapter 2. Isothermic surfaces in Möbius geometry -- Chapter 3. From smooth to discrete via permutability -- Chapter 4. Discrete Isothermic surfaces -- Chapter 5. Ω-surfaces in Lie sphere geometry -- Chapter 6. Integrability of Ω-surfaces via isothermicity -- Chapter 7. Discrete Ω-surfaces. This book provides a highly accessible approach to discrete surface theory, within the unifying frameworks of Moebius and Lie sphere geometries, from the perspective of transformation theory of surfaces rooted in integrable systems. It elucidates how the transformation theory for smooth surfaces can be used as a springboard for understanding the discretization process of certain types of surfaces, and it is aimed at high-level undergraduate students, graduate students and professional mathematicians alike. The reader will benefit from the detailed exploration of the transformation theory of surfaces, including Christoffel, Calapso and Darboux transformations of particular classes of surfaces, as well as becoming more familiar with integrable systems via zero curvature representation, including flat connections and conserved quantities, in both smooth and discrete settings.Joseph Cho, Kosuke Naokawa, Yuta Ogata, Mason Pember, Wayne Rossman, Masashi YasumotoLiteraturverzeichnis: Seite 221-231Geometry, Differential.Geometry.Differential equations.Global analysis (Mathematics).Manifolds (Mathematics).516.36978303195591499376082464006441HT031258704Online-Ausgabe9783031955921Lecture notes in mathematics2375(DE-605)HT00125322249HBZ_UBK49HBZ_WUP49HBZ_UBO49HBZ_ULM49HBZ_DUE49HBZ_ULB49HBZ_FUHrda25082520260123142259.0154316401ger https://ce.visuallibrary.net//domainresource/static/graphics/connectors/viewerLogo.gif http://193.30.112.129:83/F/?func=find-c&ccl_term=ICS%3D154316401+X0001 https://ce.visuallibrary.net/id/1376167 https://ce.visuallibrary.net/i3f/v20/1376167/manifest https://ce.visuallibrary.net/proto_ftsearch/1376167