| 书目名称 | Curvature Measures of Singular Sets |
| 编辑 | Jan Rataj,Martina Zähle |
| 视频video | |
| 概述 | Presents results of the last few decades on singular curvature theory and integral geometry in a nearly comprehensive way.Includes the necessary facts from geometric measure theory in a separate chapt |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | 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.. |
| 出版日期 | Book 2019 |
| 关键词 | Curvature Measure; Gauss-Bonnet Theorem; Geometric Measure Theory; Principal Kinematic Formula; Steiner |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-18183-3 |
| isbn_softcover | 978-3-030-18185-7 |
| isbn_ebook | 978-3-030-18183-3Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 19:58:45
