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Curvature measures of singular sets

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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 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

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

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

527840
Singularities (Mathematics)

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

Dewey Class. No.: 514.74

Curvature measures of singular sets
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100 1 $a Rataj, Jan. $3 1228519
245 1 0 $a Curvature measures of singular sets $h [electronic resource] / $c by Jan Rataj, Martina Zahle.
260 $a Cham : $c 2019. $b Springer International Publishing : $b Imprint: Springer,
300 $a xi, 256 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
520 $a 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.
650 0 $a Singularities (Mathematics) $3 527840
650 0 $a Global analysis. $3 1228520
650 0 $a Mathematics. $3 527692
650 0 $a Discrete groups. $3 678166
650 0 $a Global differential geometry. $3 672282
650 1 4 $a Global Analysis and Analysis on Manifolds. $3 672519
650 2 4 $a Measure and Integration. $3 672015
650 2 4 $a Convex and Discrete Geometry. $3 672138
650 2 4 $a Differential Geometry. $3 671118
700 1 $a Zahle, Martina. $3 792260
710 2 $a SpringerLink (Online service) $3 593884
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830 0 $a Springer monographs in mathematics. $3 882184
856 4 0 $u https://doi.org/10.1007/978-3-030-18183-3
950 $a Mathematics and Statistics (Springer-11649)

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