论文标题

在真实的投影平面中剩余的收缩不平等

A systolic inequality with remainder in the real projective plane

论文作者

Katz, Mikhail G., Nowik, Tahl

论文摘要

在半个世纪前,Loewner的学生P. M. Pu发表了第一篇收缩几何学的论文。事实证明,在实际投影平面上,PU与收缩期和任意度量的面积有关。我们证明了PU的收缩不平等的更强版本,其余术语。

The first paper in systolic geometry was published by Loewner's student P. M. Pu over half a century ago. Pu proved an inequality relating the systole and the area of an arbitrary metric on the real projective plane. We prove a stronger version of Pu's systolic inequality with a remainder term.

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