Isoclinic n-planes in Euclidean 2n-space, Clifford parallels in elliptic (2n-1)-space, and the Hurwitz matrix equations / / by Yung-chow Wong
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| Autore: |
Wong Yung-chow
|
| Titolo: |
Isoclinic n-planes in Euclidean 2n-space, Clifford parallels in elliptic (2n-1)-space, and the Hurwitz matrix equations / / by Yung-chow Wong
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [1961] |
| ©1961 | |
| Descrizione fisica: | 1 online resource (121 p.) |
| Soggetto topico: | Geometry, Analytic |
| Functional analysis | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | Cover title. |
| Includes index. | |
| Nota di bibliografia: | Bibliography: pages 110-111. |
| Nota di contenuto: | ""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"" | |
| Titolo autorizzato: | Isoclinic n-planes in Euclidean 2n-space, Clifford parallels in elliptic (2n-1)-space, and the Hurwitz matrix equations |
| ISBN: | 0-8218-9985-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480720503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 41.