发表机构
Cornell University; Shanghai University（康奈尔大学; 上海大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对四维收缩子，在不同曲率挤压条件下完成分类，并建立Hitchin-Thorpe型不等式，丰富了收缩子的几何研究成果。
AI 中文摘要
本文首先在第二Ricci曲率的挤压条件下对完备四维收缩子进行分类；接着在双正交曲率的若干挤压假设下，对半Weyl曲率的（加权）积分参数挤压的闭四维收缩子进行分类；最后在半Weyl曲率与双正交曲率的部分假设下，为非平凡闭四维收缩子建立Hitchin-Thorpe型不等式。
英文摘要
In this paper, we first classify complete four-dimensional shrinkers under a pinching condition on the $2$nd-Ricci curvature. We then classify closed four-dimensional shrinkers with (weighted) integral parameter-pinching of the half Weyl curvature under several pinching assumptions on the biorthogonal curvature. Finally, we establish a Hitchin-Thorpe type inequality for closed non-trivial four-dimensional shrinkers under some assumptions on the half Weyl curvature and the biorthogonal curvature.
Comments28 pages
