Riemannian exponential and quantization

نویسندگان

چکیده

This article continues and completes our previous work [14] J. Phys. Commun. 2 (2018) 025007. First of all, we present two methods quantization associated with a linear connection given on differentiable manifold, one them being the presented in [14]. The allow quantize functions that come from covariant tensor fields. equivalence both is demonstrated as consequence remarkable property Riemannian exponential (Theorem 5.1) that, far know, new to literature. On other hand, extension previously mentioned very broad type can be carried out by generalizing method terms fields distributions.

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ژورنال

عنوان ژورنال: Differential Geometry and Its Applications

سال: 2023

ISSN: ['1872-6984', '0926-2245']

DOI: https://doi.org/10.1016/j.difgeo.2023.102047