论文标题
与四分之一不变的球体上的等效集成指标
Equivalent Integrable Metrics on the Sphere with Quartic Invariants
论文作者
论文摘要
我们讨论了典型的转换，这些转换与一组具有四分之一不变的大地测量流有关的众所周知的大地束束。通过在相应的大地汉密尔顿人中添加各种潜力，我们可以使用四分之一的不变式在球体上构建新的可集成系统。
We discuss canonical transformations relating well-known geodesic flows on the cotangent bundle of the sphere with a set of geodesic flows with quartic invariants. By adding various potentials to the corresponding geodesic Hamiltonians, we can construct new integrable systems on the sphere with quartic invariants.
