Higher rank homogeneous Clifford structures

被引：11

作者：

Moroianu, Andrei ^{[1
]}

Pilca, Mihaela ^{[2
,3
]}

机构：

[1] Univ Versailles St Quentin, Math Lab, F-78035 Versailles, France

[2] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

[3] Acad Romana, Inst Math Simion Stoilow, Bucharest 010702, Romania

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2013年 / 87卷

关键词：

MANIFOLDS;

D O I：

10.1112/jlms/jds061

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：384 / 400

页数：17

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