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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• 1. Verfasser: Garcia, Alexis
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211979
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...