Über einige Invarianzeigenschaften der Eulerschen Charakteristik
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Un confronto tra densità
L. G. Paccagnella (1976)
Rendiconti del Seminario Matematico della Università di Padova
Une Formule Approximative de Dimension pour Certain Produits de Riesz.
Ai Hua Fan (1994)
Monatshefte für Mathematik
Uniform rectifiability and singular sets
Guy David, Stephen Semmes (1996)
Annales de l'I.H.P. Analyse non linéaire
Upper estimates on self-perimeters of unit circles for gauges
Horst Martini, Anatoliy Shcherba (2016)
Colloquium Mathematicae
Let M² denote a Minkowski plane, i.e., an affine plane whose metric is a gauge induced by a compact convex figure B which, as a unit circle of M², is not necessarily centered at the origin. Hence the self-perimeter of B has two values depending on the orientation of measuring it. We prove that this self-perimeter of B is bounded from above by the four-fold self-diameter of B. In addition, we derive a related non-trivial result on Minkowski planes whose unit circles are quadrangles.
Currently displaying 1 – 5 of 5
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