本文主要是討論一些二維常曲率流形量子化的拓樸效果。研究的對象
包括球面、圓柱面、輪胎面以及Lobachevsky plane，利用相空間上路徑
積分的方法討論之。先從較為熟悉的球面及圓柱面開始計算，並將其結果
與量子力學作一比較。我們也嘗試將這套方法應用到輪胎面及
Lobachevsky plane上，試著去了解其物理內涵。

The topological effects of some two-dimensional manifolds
with constant curvature are considered here. Our study covers
the cases of the sphere, the cylinder, the torus, and the
Lobachevsky plane. We use the method of Feynman pathintegral on
the phase space to deal with them. We start our discussion with
the more well-known cases of the sphere and the cylinder, and
compare the results with that expected from Quantum Mechanics.
In addtion, we also attempt to apply the method to the torus and
Lobachevsky plane, trying to understand the physical meaning of
them.
The topological effects of some two-dimensional manifolds