滨海蒙特勒伊的Mueter博士关于Cheeger形变的论文
On M. Mueter's Ph.D. Thesis on Cheeger deformations
摘要：
这些是我在宾夕法尼亚大学的一个研讨会上的演讲笔记，总结了我在博士学位上的成果。Michael Mueter的论文在沃尔夫冈·迈耶的指导下在明斯特大学获得。他的论文“Kruemmungserhoehende Deformationen mittels Gruppenaktionen”详细研究了所谓的Cheeger变形的曲率特性。这种变形在非负曲率和正曲率构造中是一个关键的成分。他的论文包含了丰富的有趣的性质，这种变形，但由于它从未发表，只有少数专家知道。我不打算发表这些笔记，但把它们作为一种服务发布给公众。他的论文（用德语写的）的扫描版本可以在我的主页上找到。
英文摘要：
These are notes of a talk I gave in a seminar at the University of Pennsylvania summarizing results in the Ph.D. thesis of Michael Mueter obtained under the direction of Wolfgang Meyer at the University of Muenster. His thesis on "Kruemmungserhoehende Deformationen mittels Gruppenaktionen" examines in detail curvature properties of so called Cheeger deformations. Such deformations have been a crucial ingredient in non-negative and positive curvature constructions. His thesis contains a wealth of interesting properties of such deformations, but since it was never published, is only known to a few experts. I have no intention to publish these notes, but post them as a service to the public. A scanned version of his thesis (written in German) is available on my homepage.
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。
