New sets of equi-isoclinic n-planes from old

Author:

Hoggar S. G.

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. Equi-isoclinic Subspaces of Euclidean Spaces;Lemmens;Proc. Kon. Ned. Akad. Wet. Ser. A,,1973

2. Quaternionic Equi-isoclinic n-planes;Hoggar;Ars Combinatoria,1976

3. Congressus Numerantium 15 (1976), 319–322.

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