Curvature Measures of Singular Sets (Paperback, 1st ed. 2019)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Springer Monographs in Mathematics
Release date:	August 2020
First published:	2019
Authors:	Jan Rataj • Martina Zahle
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	256
Edition:	1st ed. 2019
ISBN-13:	978-3-03-018185-7
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Euclidean geometry
LSN:	3-03-018185-5
Barcode:	9783030181857

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