Coherent states and geometry
Differential Geometry
2007-05-23 v1
Abstract
The coherent states are viewed as a powerful tool in differential geometry. It is shown that some objects in differential geometry can be expressed using quantities which appear in the construction of the coherent states. The following subjects are discussed via the coherent states: the geodesics, the conjugate locus and the cut locus; the divisors; the Calabi's diastasis and its domain of definition; the Euler-Poincar\'e characteristic of the manifold, the number of Borel-Morse cells, Kodaira embeding theorem....
Cite
@article{arxiv.math/9807072,
title = {Coherent states and geometry},
author = {Stefan Berceanu},
journal= {arXiv preprint arXiv:math/9807072},
year = {2007}
}
Comments
17 pages, latex2e, ams fonts, talk presented at the Third International Workshop on Differential Geometry and its Applications, 18-23 september 1997, Sibiu, Romania, to appear in the Proceedings