论文标题
产品歧管上的量子限制
Quantum Limits on product manifolds
论文作者
论文摘要
我们在产品歧管上建立了一些量子限制的属性,例如,在适当的假设下,如果每个歧管上的量子限制绝对连续,则歧管乘积的量子限制绝对是连续的。在满足最小多重性能的Riemannian歧管的产物上,我们证明了定期的测地量永远不会被量子限制充电。
We establish some properties of quantum limits on a product manifold, proving for instance that, under appropriate assumptions, the quantum limits on the product of manifolds are absolutely continuous if the quantum limits on each manifolds are absolutely continuous. On a product of Riemannian manifolds satisfying the minimal multiplicity property, we prove that a periodic geodesic can never be charged by a quantum limit.