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Publication Date:
June 2007
ISSN:
1615-7168
DOI:
10.1515/ADVGEOM.2007.023

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Equi-isoclinic planes in Euclidean even dimensional spaces

Citation Information: Advances in Geometry. Volume 7, Issue 3, Pages 379–384, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: 10.1515/ADVGEOM.2007.023, June 2007

Publication History:
Received:
2005-10-10
Revised:
2006-11-20
Published Online:
2007-06-28

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 .

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