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Curvature Measures of Singular Sets
Engelsk
Bogcover for Curvature Measures of Singular Sets af Jan Rataj, Martina Zahle, 9783030181857
Specifikationer
Sprog:
Engelsk
Sider:
256
ISBN-13:
9783030181857
Indbinding:
Paperback
ISBN-10:
3030181855
Kategori:
Udg. Dato:
14 aug 2020
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
14 aug 2020
Forfatter(e):

Curvature Measures of Singular Sets

Engelsk
Format:

Bog beskrivelse
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.
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Specifikationer
Sprog:
Engelsk
Sider:
256
ISBN-13:
9783030181857
Indbinding:
Paperback
ISBN-10:
3030181855
Kategori:
Udg. Dato:
14 aug 2020
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
14 aug 2020
Forfatter(e):
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