论文标题
欧几里得高曲面的共形无穷小变化
Conformal infinitesimal variations of Euclidean hypersurfaces
论文作者
论文摘要
在保形几何形状的领域，我们给出了欧几里得高度曲面的分类，该曲面接受了非平质的无限差异。在限制性变化的情况下，E. cartan在1917年获得了这种分类。《无限小等轴测变化的情况》是由U. Sbrana在1908年完成的。特别是，我们表明，允许一类Hypersurface允许允许完美无限差异的类别，比Cartan所考虑的一类大。
In the realm of conformal geometry, we give a classification of the Euclidean hypersurfaces that admit a non-trivial conformal infinitesimal variation. In the restricted case of conformal variations, such a classification was obtained by E. Cartan in 1917. The case of infinitesimal isometric variations was done by U. Sbrana in 1908. In particular, we show that the class of hypersurfaces that allow a conformal infinitesimal variation is much larger than the one considered by Cartan.
