PROPERTIES OF THE NEARLY KAHLER S-3 x S-3

被引：11
|
作者：
Moruz, Marilena [1 ]
Vrancken, Luc [1 ,2 ]
机构：
[1] Univ Valenciennes, LAMAV, Valenciennes, France
[2] Katholieke Univ Leuven, Dept Math, Leuven, Belgium
来源：
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2018年 / 103卷 / 117期
关键词：
nearly Kahler manifolds; Riemannian submersion;
D O I：
10.2298/PIM1817147M
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show how the metric, the almost complex structure and the almost product structure of the homogeneous nearly Kahler S-3 x S-3 can be recovered from a submersion pi : S-3 x S-3 x S-3 -> S-3 x S-3. On S-3 x S-3 x S-3 we have the maps obtained either by changing two coordinates, or by cyclic permutations. We show that these maps project to maps from S-3 x S-3 to S-3 x S-3 and we investigate their behavior.
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页码：147 / 158
页数：12
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