The constant appearing on the right hand side is the Hermite constant γ 2 {\displaystyle \gamma _{2}} in dimension 2, so that Loewner's torus inequality can be rewritten as sys 2 ≤ γ 2 area ( T 2 ) . {\displaystyle \operatorname {sys} ^{2}\leq \gamma _{2}\;\operatorname {area} (\mathbb {T} ^{2}).} The inequality was first mentioned in the literature in Pu (1952). La constante figurant dans le membre de droite de l'inégalité est la constante d'Hermite γ 2
