000			03118nam a22004333i 4500
001			EBC3113538
003			MiAaPQ
005			20240729124545.0
006			m o d |
007			cr cnu||||||||
008			240724s1961 xx o ||||0 eng d
020			_a9780821899854 _q(electronic bk.)
020			_z9780821812419
035			_a(MiAaPQ)EBC3113538
035			_a(Au-PeEL)EBL3113538
035			_a(CaPaEBR)ebr10882197
035			_a(OCoLC)654698059
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA551.W66 1961
100	1		_aWong, Yung-Chow.
245	1	0	_aIsoclinic N-Planes in Euclidean 2n-Space, Clifford Parallels in Elliptic(2n-1) Space and the Hurwitz Matrix Equations.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1961.
264		4	_c©1961.
300			_a1 online resource (121 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.1
505	0		_aIntro -- Contents -- Introduction -- Part I. Isoclinic n-planes in E[sup(2n)] and Clifford-parallel (n-l)-planes in EL[sup(2n-1)] -- 1. The n-planes in E[sup(2n)] -- 2. Condition for two n-planes in E[sup(2n)] to be isoclinico -- 3. Maximal sets of mutually isoclinic n-planes in E[sup(2n)] and of mutually Clifford-parallel (n-l)-planes in EL[sup(2n-1)] . Existence of such maximal sets -- 4. An application: n-dimensional C[sup(2)]-surfaces in E[sup(2n)] whose tangent n-planes are mutually isoclinic -- 5. Some properties of maximal sets -- 6. Numbers of non-congruent maximal sets - proof of Theorem 3.4 -- 7. Further properties of maximal sets -- 8. Maximal sets of mutually isoclinic n-planes in E[sup(2n)] as submanifolds of the Grassmann manifold G(n,n) of n-planes in E[sup(2n)] -- Part II. The Hurwitz matrix equations -- 1. Historial remarks -- 2. Some lemmas on matrices -- 3. Reduction of the real solutions to quasi-solutions -- 4. Existence of real solutions - the Hurwitz-Radon theorem -- 5. Construction and properties of the real solutions -- 6. Further properties of the real solutions -- 7. The maximal real solutions -- 8. The cases n = 2, 4, 8 -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- M -- O -- Q -- R -- S -- U.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aGeometry, Analytic.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aWong, Yung-Chow _tIsoclinic N-Planes in Euclidean 2n-Space, Clifford Parallels in Elliptic(2n-1) Space and the Hurwitz Matrix Equations _dProvidence : American Mathematical Society,c1961 _z9780821812419
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113538 _zClick to View
999			_c69071 _d69071