Geometry via coherent states

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It is shown how the coherent states permit to find different geometrical objects as the geodesics, the conjugate locus, the cut locus, the Calabi's diastasis and its domain of definition, the Euler-Poincaré characteristic, the number of Borel-Morse cells, the Kodaira embedding theorem.
5 pages, Latex2e, ams fonts, to appear in ``GROUP21: Physical Applications and Mathematical Aspects of Geometry, Groups and Algebras", V. 1, Editors: H.-D. Doebner, W Scherer and P. Nattermann, Word Scientific, Singapore, pp. 228-232 (1997), Proceedings of the XXI International Colloquium on Group Theoretical Methods in Physics, 15-20 July 1996, Goslar, Germany

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