Uncertainty Principle and its rigidity on complete gradient shrinking Ricci solitons
Differential Geometry
2019-06-27 v2
Abstract
We prove rigidity theorems for shrinking gradient Ricci solitons supporting the Heisenberg-Pauli-Weyl uncertainty principle with the sharp constant in . In addtion, we partially give analogous rigidity results of the Caffarelli-Kohn-Nirenberg inequalities on shrinking Ricci solitons.
Keywords
Cite
@article{arxiv.1905.09508,
title = {Uncertainty Principle and its rigidity on complete gradient shrinking Ricci solitons},
author = {Weixiong Mai and Jianyu Ou},
journal= {arXiv preprint arXiv:1905.09508},
year = {2019}
}