Higher rank homogeneous Clifford structures

Moroianu, Andrei and Pilca, Mihaela (2013) Higher rank homogeneous Clifford structures. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 87. pp. 384-400. ISSN 0024-6107,

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Abstract

We give an upper bound for the rank r of homogeneous (even) Clifford structures on compact manifolds of non-vanishing Euler characteristic. More precisely, we show that if r=2(a)center dot b with b odd, then r < 9 for a=0, r < 10 for a=1, r < 12 for a=2 and r < 16 for a >= 3. Moreover, we describe the four limiting cases and show that there is exactly one solution in each case.

Item Type: Article
Uncontrolled Keywords: MANIFOLDS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 20 Apr 2020 04:55
Last Modified: 20 Apr 2020 04:55
URI: https://pred.uni-regensburg.de/id/eprint/16907

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