Curvature Measures of Singular Sets
Rataj, Jan, Zähle, Martina
Produktnummer:
1831e488198cb14e6093efde0c1fed044c
| Autor: | Rataj, Jan Zähle, Martina |
|---|---|
| Themengebiete: | Curvature Measure Gauss-Bonnet Theorem Geometric Measure Theory Principal Kinematic Formula Steiner Formula |
| Veröffentlichungsdatum: | 14.08.2020 |
| EAN: | 9783030181857 |
| Sprache: | Englisch |
| Seitenzahl: | 256 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "Curvature Measures of Singular Sets"
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.
Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen