The Laplacian coflow on almost-abelian Lie groups

被引：11
|
作者：
Bagaglini, Leonardo [1 ]
Fino, Anna [2 ]
机构：
[1] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Viale Giovan Battista Morgagni 67-A, I-50134 Florence, Italy
[2] Univ Torino, Dipartimento Matemat Giuseppe Peano, Via Carlo Alberto 10, I-10123 Turin, Italy
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2018年 / 197卷 / 06期
关键词：
G(2)-structures; Laplacian coflow; Solitons; Lie groups; FLOW; G(2)-STRUCTURES;
D O I：
10.1007/s10231-018-0753-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We find explicit solutions of the Laplacian coflow of G(2)-structures on seven-dimensional almost-abelian Lie groups. Moreover, we construct new examples of solitons for the Laplacian coflow which are not eigenforms of the Laplacian and we exhibit a solution, which is not a soliton, having a bounded interval of existence.
引用
收藏
页码：1855 / 1873
页数：19
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