关于椭球上的闭测地线
On Closed Geodesics on Ellipsoids
摘要:
研究d维欧氏空间中椭球上的闭测地线。给出了这类测地线闭性的显式代数几何条件。利用θ-函数理论讨论了所得到的条件,并与最近的一些相关结果进行了比较。
英文摘要:
Closed geodesic lines on an ellipsoid in d-dimensional Euclidean space are considered. Explicit algebro-geometric condition for closedness of such a geodesic is given. The obtained condition is discussed in light of theta-functions theory and compared with some recent related results.
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