论文标题
用扭转的谐波图
Harmonic maps with torsion
论文作者
论文摘要
在本文中，我们通过假设目标歧管配备了指标但没有逐渐变化的扭转的连接，从而介绍了研究良好方程的自然扩展。此类连接已经被分类为Cartan的工作。所考虑的地图并未作为能量功能的关键点出现，从而导致有趣的数学挑战。我们将对这些地图进行第一个数学分析，我们将其称为扭转的谐波图。
In this article we introduce a natural extension of the well-studied equation for harmonic maps between Riemannian manifolds by assuming that the target manifold is equipped with a connection that is metric but has non-vanishing torsion. Such connections have already been classified in the work of Cartan. The maps under consideration do not arise as critical points of an energy functional leading to interesting mathematical challenges. We will perform a first mathematical analysis of these maps which we will call harmonic maps with torsion.
