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.--
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Curvature Measures of Singular Sets.
شماره استاندارد بين المللي کتاب و موسيقي
9783030181826
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Discrete groups.
موضوع مستند نشده
Global analysis.
موضوع مستند نشده
Global differential geometry.
موضوع مستند نشده
Mathematics.
موضوع مستند نشده
Singularities (Mathematics)
موضوع مستند نشده
Discrete groups.
موضوع مستند نشده
Global differential geometry.
موضوع مستند نشده
Mathematics.
موضوع مستند نشده
Singularities (Mathematics)
رده بندی ديویی
شماره
514
.
74
رده بندی کنگره
شماره رده
QA614
.
58
شماره رده
QA614-614
.
97QA312-31
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )