论文标题
关于梯度Ricci Solitons的谐波和Biharmonic地图
On harmonic and biharmonic maps from gradient Ricci solitons
论文作者
论文摘要
我们研究了梯度Ricci孤子的谐波和两体谐波图。我们得出了许多分析条件和几何条件，在这些分析和几何条件下，谐波图是恒定的，哪些迫使Biharmonic图是谐波的。特别是，我们表明，来自二维雪茄孤子的有限能量的二摩尼克图必须是谐波的。
We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two-dimensional cigar soliton must be harmonic.
