代数方法增加Grassmann Uniton及G-Grassmann Uniton数

Add Grassmann Uniton and G-Grassmann Uniton Number via Algebraic Method

给出了增加从单连通区域ΩR2∪{∞}到Grassmann流形和G-Grassmann流形调和映射uniton数的充要条件,并得到可交换G-Grassmann扩张n-uniton的两种具体构造方法.

It presents the sufficient and necessary conditions for adding Grassmann uniton numbers and G- Grassmann uniton numbers for harmonic maps from a simply connected domainΩ R^2U{∞}into the Grassmann manifold and the G-Grassmann manifold with finite uniton numbers. It also gives two kinds of ways to construct commutative G-Grassmann extended n-uniton.