ID | 33128 |
FullText URL | |
Author |
Jianwei, Zhou
Hui, Huang
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Abstract | In this paper, we use the Clifford algebra Cℓ8 to construct fibre bundles ¿1 : G(2; 8) → S6, ¿'1 : G(2; 7) → S6 and ¿2 : G(3; 8) → S7, the fibres are CP3, CP2 and ASSOC = G2=SO(4) respectively. We show that G(2; 5), CP3 and S6 are the homologically volume minimizing submanifolds of G(2; 8) by calibrations and they generate the homology group H6(G(2; 8)). The submanifolds S7 and ASSOC of G(3; 8) generate H7(G(3; 8)) and H8(G(3; 8)) respectively. |
Keywords | Grassmann manifold
Riemann connection
Clifford algebra
fibre bundle
calibration.
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Published Date | 2002-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume44
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 171
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End Page | 179
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol44/iss1/5
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JaLCDOI |