GEODESIC CURVES ON QUANTIZED MANIFOLDS

Authors
MILANI V ABAD ASD
Citation
V. Milani et Asd. Abad, GEODESIC CURVES ON QUANTIZED MANIFOLDS, letters in mathematical physics, 40(4), 1997, pp. 391-394
Citations number
6
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
40
Issue
4
Year of publication
1997
Pages
391 - 394
Database
ISI
SICI code
0377-9017(1997)40:4<391:GCOQM>2.0.ZU;2-P
Abstract
A general definition of curves and geodesics associated with a given c onnection on a quantized manifold is given. In the particular case of functional quantization, we define geodesics in the same way as in the classical case and we will show that the two definitions are compatib le. As an example, we examine our results for the quantum Manin plane.