论文标题
常规的非犹豫dubrovin-frobenius歧管
Regular non-semisimple Dubrovin-Frobenius manifolds
论文作者
论文摘要
我们研究规则的非毛刺dubrovin-frobenius歧管歧管，尺寸为2,3,4。我们关注的是，欧拉矢量场的乘法运算符的约旦规范形式具有一个Jordan块。我们的结果依赖于[4]中引入的特殊局部坐标的存在，适用于带有Euler Vector Field的常规F-manifolds。在这样的坐标中，杜布罗文 - 弗罗贝尼乌斯歧管的不变指标采用了一种特殊的形式，这是我们建筑的起点。
We study regular non-semisimple Dubrovin-Frobenius manifolds in dimensions 2,3,4. We focus on the case where the Jordan canonical form of the operator of multiplication by the Euler vector field has a single Jordan block. Our results rely on the existence of special local coordinates introduced in [4] for regular flat F-manifolds with Euler vector field. In such coordinates the invariant metric of the Dubrovin-Frobenius manifold takes a special form which is the starting point of our construction.
