论文标题

几乎Zoll仿射表面

An almost Zoll affine surface

论文作者

Gilkey, Peter B

论文摘要

如果所有仿生的大地测量学平稳地关闭,则据说仿射表面是仿生的ZOL表面。据说如果到达任何点,每种仿生的大地植物,但都可以平稳地关闭(据说据说出色的大地测量,它是不返回的)。我们在圆柱体上表现出一个几乎是Zoll的仿射结构。该结构在地球上是完整的,仿射杀死完整和仿射对称。

An affine surface is said to be an affine Zoll surface if all affine geodesics close smoothly. It is said to be an affine almost Zoll surface if thru any point, every affine geodesic but one closes smoothly (the exceptional geodesic is said to be alienated as it does not return). We exhibit an affine structure on the cylinder which is almost Zoll. This structure is geodesically complete, affine Killing complete, and affine symmetric.

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