Curvature Measures of Singular Sets [[electronic resource] /] / by Jan Rataj, Martina Zähle

• Autore: Rataj Jan <1962->
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
• Edizione: 1st ed. 2019.
• Descrizione fisica: 1 online resource (XI, 256 p. 13 illus., 7 illus. in color.)
• Disciplina: 514.74
• Soggetto topico: Global analysis (Mathematics); Manifolds (Mathematics); Measure theory; Convex geometry ; Discrete geometry; Differential geometry; Global Analysis and Analysis on Manifolds; Measure and Integration; Convex and Discrete Geometry; Differential Geometry
• Persona (resp. second.): ZähleMartina
• Sommario/riassunto: The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and piecewise smooth submanifolds as special cases. The measures under consideration form a complete system of certain Euclidean invariants. Techniques of geometric measure theory, in particular, rectifiable currents are applied, and some important integral-geometric formulas are derived. Moreover, an approach to curvatures for a class of fractals is presented, which uses approximation by the rescaled curvature measures of small neighborhoods. The book collects results published during the last few decades in a nearly comprehensive way.
• Titolo autorizzato: Curvature Measures of Singular Sets
• ISBN: 3-030-18183-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910338245403321
• Lo trovi qui: Univ. Federico II
• Serie: Springer Monographs in Mathematics, . 1439-7382