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Curvature Measures of Singular Sets

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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.

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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.

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Book Format

Hardcover, Softcover

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Book information

Edition
1st Edition
ISBN [Hardcover]
9783030181826
ISBN [Softcover]
9783030181857
Publisher
Springer
Year
2019
Pages
XI, 256 p.
Series Title
Springer Monographs in Mathematics
Language
English
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