Operator $\Box^{r}$ on a submanifold of Riemannian manifold and its applications

The paper generalizes the self-adjoint differential operator $\Box$ on hypersurfaces of a constant curvature manifold to submanifolds, introduced by Cheng-Yau. Using the series of such operators, a new way to prove Minkowski-Hsiung integral formula is given and some integral formulas for compact su...

Full description

Bibliographic Details
Main Author: Shunzi Guo
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2015-05-01
Series:Armenian Journal of Mathematics
Online Access:http://armjmath.sci.am/index.php/ajm/article/view/108