Single-Valued Killing Fields of a Meromorphic Affine Connection and Classification

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Author: Garcia, Alexis
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211979
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Single-Valued Killing Fields of a Meromorphic Affine Connection and Classification. Alexis Garcia. SIGMA 19 (2023), 052, 35 pages

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 meromorp...