论文标题
Meromormorphic仿射连接和分类的单值杀戮场
Single-Valued Killing Fields of a Meromorphic Affine Connection and Classification
论文作者
论文摘要
我们在Meromormormorphic仿射连接上给出了几何条件，以使其杀死矢量场是单一估值的。更确切地说，这种条件依赖于连接及其大地测量的极点，并定义了一个子类别。为此，我们使用这些对象与Meromormormormoric Aggine Cartan几何形状之间的等效性。先前结果的证明是将更一般的结果联系起来的结果，该结果将Meromorormorphic Cartan几何形状，杆子和它们的无限自动形态的杰出曲线联系起来，这是本文的主要目的。这使得可以扩展[Biswas I.，Dumitrescu S.，McKay B.，épijournalGéom。 Algèbrique3（2019），19，10页，Arxiv：1804.08949]，归因于以前描述的Meromormormormormormorphic仿射连接子类别。
We give a geometric condition on a meromorphic affine connection for its Killing vector fields to be single valued. More precisely, this condition relies on the pole of the connection and its geodesics, and defines a subcategory. To this end, we use the equivalence between these objects and meromorphic affine Cartan geometries. The proof of the previous result is then a consequence of a more general result linking the distinguished curves of meromorphic Cartan geometries, their poles and their infinitesimal automorphisms, which is the main purpose of the paper. This enables to extend the classification result from [Biswas I., Dumitrescu S., McKay B., Épijournal Géom. Algèbrique 3 (2019), 19, 10 pages, arXiv:1804.08949] to the subcategory of meromorphic affine connection described before.
