The sharp estimates for the first eigenvalue of Paneitz operator on 4-dimensional submanifolds
Differential Geometry
2010-10-18 v1
Abstract
In this note, we obtain the sharp estimates for the first eigenvalue of Paneitz operator for -dimensional compact submanifolds in Euclidean space. Since unit spheres and projective spaces can be canonically imbedded into Euclidean space, the corresponding estimates for the first eigenvalue are also obtained.
Keywords
Cite
@article{arxiv.1010.3102,
title = {The sharp estimates for the first eigenvalue of Paneitz operator on 4-dimensional submanifolds},
author = {Daguang Chen and Haizhong Li},
journal= {arXiv preprint arXiv:1010.3102},
year = {2010}
}