节点集的管状邻域与丢番图逼近
Tubular Neighborhoods of Nodal Sets and Diophantine Approximation
摘要：
给出了实解析闭黎曼流形M上拉普拉斯算子的特征函数的节点集的管状邻域体积的上、下界.作为一个应用，我们考虑的问题，M上的节点集的逼近点，并探讨类似的近似有理数。
英文摘要：
We give upper and lower bounds on the volume of a tubular neighborhood of the nodal set of an eigenfunction of the Laplacian on a real analytic closed Riemannian manifold M. As an application we consider the question of approximating points on M by nodal sets, and explore analogy with approximation by rational numbers.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
