论文标题

对末端的流形的几何分析

Geometric analysis on manifolds with ends

论文作者

Grigor'yan, Alexander, Ishiwata, Satoshi, Saloff-Coste, Laurent

论文摘要

在这篇调查文章中,我们讨论了有关末端的多种流形分析的最新进展。在最后一部分中,我们构建具有振荡音量函数的末端的歧管,这些函数可能与已知结果提供的热核的估计值不同。

In this survey article, we discuss some recent progress on geometric analysis on manifold with ends. In the final section, we construct manifolds with ends with oscillating volume functions which may turn out to have a different heat kernel estimates from those provided by known results.

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