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arXiv · 1905.09508

Uncertainty Principle and its rigidity on complete gradient shrinking Ricci solitons

Weixiong Mai·Jianyu Ou
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Abstract

We prove rigidity theorems for shrinking gradient Ricci solitons supporting the Heisenberg-Pauli-Weyl uncertainty principle with the sharp constant in $\mathbb{R}^n$. In addtion, we partially give analogous rigidity results of the Caffarelli-Kohn-Nirenberg inequalities on shrinking Ricci solitons.

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Weixiong Mai, Jianyu Ou. 2019-05-23. Uncertainty Principle and its rigidity on complete gradient shrinking Ricci solitons. https://arxiv.org/abs/1905.09508

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