منابع مشابه
Linear Systems of Real Quadratic Forms
1. It is natural to consider invariantive properties of ¿-dimensional linear systems of real quadratic forms over Rn (or quadratic forms over Rn with values in Rk, 2SkS\n(n + l)), because of the occurrence of such objects at least in the following contexts: in the second fundamental form of classical differential geometry for ra-dimensional manifolds differentiably imbedded in an (n+k)-space, a...
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Let D = 1 be a positive non-square integer and let δ = √ D or 1+ √ D 2 be a real quadratic irrational with trace t = δ + δ and norm n = δδ. Let γ = P+δ Q be a quadratic irrational for positive integers P and Q. Given a quadratic irrational γ, there exist a quadratic ideal Iγ = [Q, δ + P ] and an indefinite quadratic form Fγ(x, y) = Q(x−γy)(x−γy) of discriminant Δ = t − 4n. In the first section,...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1982
ISSN: 0002-9939
DOI: 10.2307/2043553