Isoclinic N-planes in Euclidean 2n-space, Clifford Parallels in Elliptic (2n-1)-space, and the Hurwitz Matrix Equations |
Contents
CLIFFORD PARALLELS IN ELLIPTIC 2n1SPACE | 7 |
Part II | 8 |
Maximal sets of mutually isoclinic nplanes in | 19 |
6 other sections not shown
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Common terms and phrases
1-dimensional set 28m m odd A₁ A₂ angle congruent containing the n-plane corresponding denote dimension E²n elliptic space equa equi-angular frame exists a rotation g²n Grassmann manifold Hence Hurwitz equations Hurwitz matrix equations Hurwitz-Radon theorem integer isoclinic n-planes containing Lemma linear space linear subspace matrices of order matrices satisfying matrix equations 1.1 maximal quasi-solution maximal real solution maximal solution mutually Clifford mutually Clifford-parallel n-1)-planes mutually isoclinic n-planes n-plane isoclinic n-planes in 2n non-singular nx n matrices orthogonal matrix orthogonally similar p-dimensional maximal set parallel n-1)-planes perpendicular planes proof of Theorem scalar semi-perpendicular set of mutually set of n-planes skew matrices solution of 1.1 subset t₁ tan² tangent n-planes Theorem 3.2 tions unitarily similar unitary matrix unitary skew unitary symmetric vector zero αβ Γαβ
References to this book
Riemannian Submersions and Related Topics Maria Falcitelli,Anna Maria Pastore,Stere Ianus No preview available - 2004 |
Crystallographic Groups and Their Generalizations: Workshop, Katholieke ... Paul Igodt No preview available - 2000 |