- Tytuł:
- Étude des différences de corps convexes plans
- Autorzy:
- Martinez-Maure, Yves
- Powiązania:
- https://bibliotekanauki.pl/articles/1294040.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Brunn-Minkowski theory
hedgehog
convex curve
support function - Opis:
- We characterize the linear space ℋ of differences of support functions of convex bodies of ² and we consider every h ∈ ℋ as the support function of a generalized hedgehog (a rectifiable closed curve having exactly one oriented support line in each direction). The mixed area (for plane convex bodies identified with their support functions) has a symmetric bilinear extension to ℋ which can be interpreted as a mixed area for generalized hedgehogs. We study generalized hedgehogs and we extend the Minkowski inequality.
- Źródło:
-
Annales Polonici Mathematici; 1999, 72, 1; 71-78
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł