Curvature Measures of Singular Sets eBook
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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.

About the book
Author
Jan  Rataj , Martina  Zähle
Imprint
Springer
Collection
Springer Monographs in Mathematics
Publication date
2019-06-22
Pages
256 pages
Print ISBN
9783030181826
Language
English
Ebook informations
EAN PDF
9783030181833
Price
£109.50
Read more
Copy count 2
Print count 25
File size 3502 Ko
Ce livre est accessible aux handicaps   Informations accessibility
EAN EPUB
9783030181833
Price
£109.50
Read more
Copy count 2
Print count 25
File size 16302 Ko
Ce livre est accessible aux handicaps   Informations accessibility
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About author(s)


Defaut-Illustration Jan Rataj
Defaut-Illustration Martina Zähle

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