论文标题
紧凑的ERP G2结构的新示例
A new example of a compact ERP G2-structure
论文作者
论文摘要
我们通过在唯一的唯一不可产生的可溶可溶解室中找到一个晶格，在紧凑的7个manifold上提供了第二个已知的例子，即在紧凑的7个manifold上捏合封闭的G2结构，该晶格承认左右不变的G2结构。此外，在这个谎言组的6参数家族中，研究了拉普拉斯·科夫洛及其孤子的左右coclated g2结构。这样，我们获得了扩展孤子的4参数亚家族。该家庭是本地成对的非等效性。
We provide the second known example of an extremally Ricci pinched closed G2-structure on a compact 7-manifold, by finding a lattice in the only unimodular solvable Lie group admitting a left-invariant G2-structure. Furthermore, the Laplacian coflow and its solitons are studied on a 6-parameter family of left-invariant coclosed G2-structures on this Lie group. In this way, we obtain a 4-parameter subfamily of expanding solitons. The family is locally pairwise non-equivalent.
