کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665981 1633840 2013 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Normal cycles and curvature measures of sets with d.c. boundary
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Normal cycles and curvature measures of sets with d.c. boundary
چکیده انگلیسی
We show that for every compact domain in a Euclidean space with d.c. (delta-convex) boundary there exists a unique Legendrian cycle such that the associated curvature measures fulfill a local version of the Gauss-Bonnet formula. This was known in dimensions two and three and was open in higher dimensions. In fact, we show this property for a larger class of sets including also lower-dimensional sets. We also describe the local index function of the Legendrian cycles and we show that the associated curvature measures fulfill the Crofton formula.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 248, 25 November 2013, Pages 963-985
نویسندگان
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