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On the Geometry of Subspaces in Euclidean n-Spaces

✍ Scribed by Adi Ben-Israel

Book ID: 124874099
Publisher: Society for Industrial and Applied Mathematics
Year: 1967
Tongue: English
Weight: 902 KB
Volume: 15
Category: Article
ISSN: 0036-1399
DOI: 10.2307/2099158

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Let ( , , J 1 ) and ( , , J 2 ) denote two Hermitian structures on a 2n-dimensional Euclidean space (V , , ). If n is even and J 1 ,J 2 have opposite orientations, then there exist non-zero vectors v, w ∈ V such that J 1 (v) = J 2 (v) and J 1 (w) = -J 2 (w). If n is odd and J 1 , J 2 have the same o