相干态与几何
微分几何
2007-05-23 v1
摘要
相干态被视为微分几何中的有力工具。我们表明微分几何中的某些对象可用相干态构造中出现的数量表达。通过相干态讨论了如下主题：测地线、共轭轨迹与割迹；除子；Calabi 的 diastasis 及其定义域；流形的 Euler-Poincaré 示性数、Borel-Morse 胞腔数、Kodaira 嵌入定理……
引用
@article{arxiv.math/9807072,
title = {Coherent states and geometry},
author = {Stefan Berceanu},
journal= {arXiv preprint arXiv:math/9807072},
year = {2007}
}
备注
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