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arXiv 1306.1759math.GTmath.MG
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具有圆锥奇点的欧氏曲面的几何

The geometry of Euclidean surfaces with conical singularities

Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas

摘要:

研究了具有欧氏度量的闭曲面的几何性质,该曲面具有多个任意角锥点。主要结果是非闭测地线的像到圆锥点集的距离为0。还证明了测地线空间的动力学性质。

英文摘要:

The geometry of closed surfaces equipped with a Euclidean metric with finitely many conical points of arbitrary angle is studied. The main result is that the image of a non-closed geodesic has 0 distance from the set of conical points. Dynamical properties for the space of geodesics are also proved.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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