球面上测地线方程的近似对称性
Approximate symmetries of geodesic equations on 2-spheres
摘要：
研究了2-球面上测地线方程的近似对称性。在给出了测地线方程的精确对称性之后，用两种不同的方法研究了近似测地线方程的近似对称性，结果表明，这些空间不存在非平凡的近似对称性。
英文摘要：
Approximate symmetries of geodesic equations on 2-spheres are studied. These are the symmetries of the perturbed geodesic equations which represent approximate path of a particle rather than exact path. After giving the exact symmetries of the geodesic equations, two different approaches to study the approximate symmetries of the approximate geodesic equations show that no non-trivial approximate symmetry for these spaces exists.
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