Conformal field theory is a two-dimensional quantum field theory invariant un-der conformal transformations...
共形场理论是在共形变换下不变的二维量子场理论（见[1]）。
We then introduce a conformal invariant quantity which is formulated in terms of the square of the length of the trace free part of the second fundamental form and the mean curvature, and prove that if this quantity is bounded above by that value of the Clifford torus then x is either a totally umbilical sphereor a conformal Clifford torus.
接著我们介绍一个由第二基本型式迹为零部份的张量长度平方与平均曲率形成的保角不变量，并证明此保角不变量的上界若为Clifford环面之值，则x不是全脐球面就是Clifford环面的保角类。
For an even dimensional compact oriented conformal real manifold without boundary, Connes has constructed a canonical Fredholm module and defined a conformal invariant by the Wodzicki residue.
对于偶数维、紧致、可定向、没有边界的共形实流形，Connes构造了一个标准的Fredholm模，并用Wodzicki留数定义了一个共形不变量。
In 1986, R. D. Cook proposed differential geometry to assess local influence of minor perturbations of linear statistical models. Poon and Poon(1999) constructed a conformably invariant curvature, the conformal normal curvature, for the same purpose.
Cook(1986)用微分几何的方法评估了线性统计模型微小扰动的局部影响，Poon and Poon(1999)改进了Cook提出的统计曲率概念，定义了保形法曲率。