On invariant operations of Fedosov structures
Differential Geometry
2023-01-26 v1
Abstract
In this paper we study invariant local operations that can performed on a Fedosov manifold, with a particular emphasis on tensor-valued operations (also known as natural tensors). Our main result describes the spaces of homogeneous natural tensors as certain finite dimensional linear representations of the symplectic group.
Cite
@article{arxiv.2301.10285,
title = {On invariant operations of Fedosov structures},
author = {Adrián Gordillo-Merino and Raúl Martínez-Bohórquez and José Navarro-Garmendia},
journal= {arXiv preprint arXiv:2301.10285},
year = {2023}
}