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Curvature Measures of Singular Sets

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Curvature Measures of Singular Sets/ by Jan Rataj, Martina Zähle.
Author:	Rataj, Jan.
other author:	Zähle, Martina.
Description:	XI, 256 p. 13 illus., 7 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Global analysis (Mathematics). -
Online resource:	https://doi.org/10.1007/978-3-030-18183-3
ISBN:	9783030181833

Curvature Measures of Singular Sets
Rataj, Jan.

Curvature Measures of Singular Sets[electronic resource] /by Jan Rataj, Martina Zähle. - 1st ed. 2019. - XI, 256 p. 13 illus., 7 illus. in color.online resource. - Springer Monographs in Mathematics,1439-7382. - Springer Monographs in Mathematics,.

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.

ISBN: 9783030181833

Standard No.: 10.1007/978-3-030-18183-3doiSubjects--Topical Terms:

1255807
Global analysis (Mathematics).

LC Class. No.: QA614-614.97

Dewey Class. No.: 514.74

Curvature Measures of Singular Sets
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