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- W4254505837 abstract "This chapter provides an overview of the equi-isoclinic subspaces of Euclidean spaces. Two planes in Euclidean 4-space E4 have two angles. They are the stationary values of the angle between the lines l and m, if l runs through one plane and m runs through the other plane. If the two angles are equal, then the planes are said to be isoclinic. The chapter discusses the problem of finding the maximum number Vλ (n, r) of equi-isoclinic n-subspaces in Er with the parameter λ, that is, of pairwise isoclinic n-subspaces with the same angle φ, cos2 φ = λ. So, Vλ (1, r) is the maximum number of equiangular lines in Er with the angle φ= arccos/ λ. The results for lines have their consequences for n-subspaces. The problem amounts to finding the maximum number ν for which there exists a real symmetric matrix of order vn, partitioned into square blocks of order n with zero blocks on the diagonal and orthonormal blocks elsewhere, having a prescribed value and multiplicity for its smallest eigenvalue." @default.
- W4254505837 created "2022-05-12" @default.
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- W4254505837 date "1991-01-01" @default.
- W4254505837 modified "2023-09-27" @default.
- W4254505837 title "EQUI-ISOCLINIC SUBSPACES OF EUCLIDEAN SPACES" @default.
- W4254505837 doi "https://doi.org/10.1016/b978-0-12-189420-7.50033-5" @default.
- W4254505837 hasPublicationYear "1991" @default.
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