论文标题
PU不等式的刚度和规范空间的二次等级常数
Rigidity of the Pu inequality and quadratic isoperimetric constants of normed spaces
论文作者
论文摘要
我们的主要结果使Banach空间的封闭曲线的填充区域有了改进的结合，而Banach空间不是封闭的大地测量学。作为应用，我们显示了PU的经典收缩不平等的刚性，并研究了规范空间的等速标准。后者有进一步的应用，涉及芬斯勒歧管中最小表面的规律性。
Our main result gives an improved bound on the filling areas of closed curves in Banach spaces which are not closed geodesics. As applications we show rigidity of Pu's classical systolic inequality and investigate the isoperimetric constants of normed spaces. The latter has further applications concerning the regularity of minimal surfaces in Finsler manifolds.
