Geodesic
On Eutactic Forms
Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 1040-1054

Voir la notice de l'article provenant de la source Cambridge University Press

Let (aij) = A be a positive definite n × n symmetric matrix with real entries. To it corresponds a positive definite quadratic form ƒ on Rn : ƒ(x) = txAx = ∑ aijXiXj for x any column vector in Rn . The set of values ƒ(y) for y in Zn — {0} has a minimum m (A) > 0 and the number of “minimal vectors“ y1, ... , yr in Zn for which ƒ(yi) = m (A) is finite. By definition, ƒ and A are called eutactic if and only if there are positive numbers s1 ,... , sr such that 
Ash, Avner. On Eutactic Forms. Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 1040-1054. doi: 10.4153/CJM-1977-101-2
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