Curvature Measures of Singular Sets (e-bog) af Zahle, Martina
Zahle, Martina (forfatter)

Curvature Measures of Singular Sets e-bog

1021,49 DKK (inkl. moms 1276,86 DKK)
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. ...
E-bog 1021,49 DKK
Forfattere Zahle, Martina (forfatter)
Forlag Springer
Udgivet 22 juni 2019
Genrer PBD
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9783030181833
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.