1977
DOI: 10.1017/s0013091500026511
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New sets of equi-isoclinic n-planes from old

Abstract: Two n-planes Γ and Δ in real Euclidean r-space Rr are called isoclinic with parameter λ if the angle θ between any x in Γ and its orthogonal projection Px on Δ is unique, with cos2 θ = λ. Let vλ(n, r) denote the maximum number of equi-isoclinic (i.e. pairwise isoclinic) n-planes in Rr with parameter λ.

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Cited by 20 publications
(31 citation statements)
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“…This result is new in comparison with [4], and enables us to prove here that if λ > 1/4 then v λ (2, 2r, R) ≤ r 2 (Corollary 1). These considerations combined with the above list solve the case r = 3.…”
Section: Introduction On Geometrymentioning
confidence: 55%
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“…This result is new in comparison with [4], and enables us to prove here that if λ > 1/4 then v λ (2, 2r, R) ≤ r 2 (Corollary 1). These considerations combined with the above list solve the case r = 3.…”
Section: Introduction On Geometrymentioning
confidence: 55%
“…Conversely every set of equiangular lines in C r with angle arccos √ λ yields trivially a set of equi-isoclinic planes in R 2r with parameter λ ([1], [4]). …”
Section: R-matricesmentioning
confidence: 99%
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“…[8]. Enfin, mentionnons [5] pour le problème plus général de remplissage avec des n-uplets non nécessairement équi-isoclins, [17] pour l'étude des n-uplets de d-plans de l'espace euclidien de dimension 2d, isoclins deux à deux non nécessairement équi-isoclins et [11] pour des généralisations de certains résultats de P.W.H. Lemmens et J.J. Seidel aux cas de l'espace complexe et de l'espace quaternionien.…”
Section: Introductionunclassified