论文标题
liouville在潜在领域的投影平面上的可集成的大地测量流量分类
Liouville classification of integrable geodesic flows on a projective plane in a potential field
论文作者
论文摘要
在带有旋转度量和线性积分的投影平面上对天然哈密顿系统的Liouville分类。计算了系统的所有Fomenko- Zieschang不变性(即标记的分子)。
A Liouville classification of a natural Hamiltonian system on the projective plane with a rotation metric and a linear integral is obtained. All Fomenko--Zieschang invariants (i.e., labeled molecules) of the system are calculated.