论文标题
左左广义复合物和Kähler结构简单地连接了四个维谎言组:分类和不变的共同体
Left invariant generalized complex and Kähler structures on simply connected four dimensional Lie groups: classification and invariant cohomologies
论文作者
论文摘要
我们在四个维度连接的谎言组上对左不变的1型的左不变性复合结构进行了完整分类,并为每个类别的属性计算其不变的广义Dolbeault共同体,其不变的广义BOTT-CHERN共同体及其不变的不变的广义AEPPLI AEPPLI Coomology。我们还将不变的广义kähler结构归类为四个维的简单连接的谎言组。
We give a complete classification of left invariant generalized complex structures of type 1 on four dimensional simply connected Lie groups and we compute for each class its invariant generalized Dolbeault cohomology, its invariant generalized Bott-Chern cohomology and its invariant generalized Aeppli cohomology. We classify also left invariant generalized Kähler structures on four dimensional simply connected Lie groups.