保角緊緻流形之相關探討

Abstract

在這篇文章裡，我探討了保角緊緻流形的重要結果及其關聯性。這些主題包含了重整化體積，GJMS算子，Q曲率和基礎的散射理論。這篇文章的主旨是從不同的歷史發展出發來看保角緊緻流形的研究，並探討這些不同的歷史發展交匯時的結果。

In this paper, I survey several important results for conformally compact manifolds and relate these different objects together. These topics includes renormalized volume, GJMS operators, Q-curvature, and basic scattering theory. The main goal of this paper is to survey conformally compact manifolds from different historical developments and discuss how these developments are related.