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Equi-isoclinic planes in Euclidean even dimensional spaces
-
Boumediene Et-Taoui
Published/Copyright:
June 28, 2007
Abstract
Let 
. A p-set of equi-isoclinic planes with parameter λ in 
is a set of p planes spanning each pair of which has the same non-zero angle arccos 
. We prove that the maximum number of equi-isoclinic planes in 
is nine and that if λ > ¼, the maximum number of equi-isoclinic planes in 
with parameter λ is equal to that one of equiangular lines in 
with angle arccos .
Received: 2005-10-10
Revised: 2006-11-20
Published Online: 2007-06-28
Published in Print: 2007-07-20
© Walter de Gruyter
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Articles in the same Issue
- Painlevé equations and the middle convolution
- Manifolds with asymptotically nonnegative minimal radial curvature
- Hermitian indicator sets
- A question of Kantor on elations of dual translation generalized quadrangles
- Equi-isoclinic planes in Euclidean even dimensional spaces
- Antipodal trees and mutually critical points on surfaces
- Intersection properties of polyhedral norms
- Special curves defined over a finite field: plane models and gonality
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with nonzero constant mean curvature - On a 25-dimensional embedding of the Ree–Tits generalized octagon
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