Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
ON THE TOTAL SURFACE AREA OF POTATO PACKINGS. / Novaga, M; Paolini, E; Stepanov, E.
в: Proceedings of the American Mathematical Society, Том 153, № 10, 2025, стр. 4327-4335.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - ON THE TOTAL SURFACE AREA OF POTATO PACKINGS
AU - Novaga, M
AU - Paolini, E
AU - Stepanov, E
N1 - Times Cited in Web of Science Core Collection: 0 Total Times Cited: 0 Cited Reference Count: 15
PY - 2025
Y1 - 2025
N2 - We prove that if we fill without gaps a bag with infinitely many potatoes, in such a way that they touch each other in few points, then the total surface area of the potatoes must be infinite. In this context potatoes are measurable subsets of the Euclidean space, the bag is any open set of the same space. As we show, this result also holds in the general context of doubling (even locally) metric measure spaces satisfying Poincare inequality, in particular in smooth Riemannian manifolds and even in some sub-Riemannian spaces.
AB - We prove that if we fill without gaps a bag with infinitely many potatoes, in such a way that they touch each other in few points, then the total surface area of the potatoes must be infinite. In this context potatoes are measurable subsets of the Euclidean space, the bag is any open set of the same space. As we show, this result also holds in the general context of doubling (even locally) metric measure spaces satisfying Poincare inequality, in particular in smooth Riemannian manifolds and even in some sub-Riemannian spaces.
KW - SPHERES
U2 - 10.1090/proc/17277
DO - 10.1090/proc/17277
M3 - Article
VL - 153
SP - 4327
EP - 4335
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 10
ER -
ID: 147935965