Geometry Via Sprays on Frechet Manifolds

Autor:	Eftekharinasab, Kaveh
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We construct connection maps and linear symmetric connections on tangent and second-order tangent bundles for \fr manifolds using the notion of a spray. For these manifolds, we characterize linear symmetric connections on tangent bundles in terms of bilinear symmetric mappings associated with sprays. We also provide an alternative characterization of these connections using tangent structures. Furthermore, we prove that a bijective correspondence exists between linear symmetric connections on tangent bundles and sprays.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.15955 Zobrazit plný text záznamu View this record from Arxiv