Curvature Measures of Singular Sets

• Main Authors: Rataj, Jan (Author, http://id.loc.gov/vocabulary/relators/aut), Zähle, Martina (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Monographs in Mathematics,
• Subjects: 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.

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...