Curvature Measures of Singular Sets is popular PDF and ePub book, written by Jan Rataj in 2019-06-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Curvature Measures of Singular Sets can be Read Online from any device for your convenience.
Curvature Measures of Singular Sets Book PDF Summary
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.
Detail Book of Curvature Measures of Singular Sets PDF
- Author : Jan Rataj
- Release : 22 June 2019
- Publisher : Springer
- ISBN : 9783030181833
- Genre : Mathematics
- Total Page : 256 pages
- Language : English
- PDF File Size : 12,5 Mb
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