论文标题
riemannian歧管中submanifolds的加权σ_{r}的某些变异特性
Some variational properties of the weighted σ_{r}-curvature for submanifolds in Riemannian manifolds
论文作者
论文摘要
本文的objet是对函数的变化的研究,其整合体是封闭的riemannian歧管的超曲面上的第r曲率曲率。给出了某些应用于欧几里得空间和单位圆形Sphère的超曲面的应用。
The objet of this paper is the study of the variations of a functional whose integrant is the r-th weighted curvature on the hypersurface of a closed Riemannian manifold. Some applications to hypersurfaces of the Euclidean space and the unit round sphère are given.