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Curvature measures of singular sets

Rataj, Jan.

Curvature measures of singular sets

Record Type:	Electronic resources : Monograph/item
Title/Author:	Curvature measures of singular setsby Jan Rataj, Martina Zahle.
Author:	Rataj, Jan.
other author:	Zahle, Martina.
Published:	Cham :Springer International Publishing :2019.
Description:	xi, 256 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Singularities (Mathematics)
Online resource:	https://doi.org/10.1007/978-3-030-18183-3
ISBN:	9783030181833$q(electronic bk.)

Curvature measures of singular sets
Rataj, Jan.

Curvature measures of singular sets[electronic resource] /by Jan Rataj, Martina Zahle. - Cham :Springer International Publishing :2019. - xi, 256 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

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

185806
Singularities (Mathematics)

LC Class. No.: QA614.58 / .R37 2019

Dewey Class. No.: 514.74

Curvature measures of singular sets
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