书目名称 | Recent Advances in Alexandrov Geometry |
编辑 | Gerardo Arizmendi Echegaray,Luis Hernández-Lamoned |
视频video | |
概述 | Includes considerations involving Lie group actions.provides a comprehensive review of the recent developments of Alexandrov Geometry.Includes classification results in low dimensions from topological |
丛书名称 | CIMAT Lectures in Mathematical Sciences |
图书封面 |  |
描述 | .This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field. It contains enhanced versions of the lecture notes of the two mini-courses plus those of one research talk given at CIMAT..Peter Petersen’s part aims at presenting various rigidity results about Alexandrov spaces in a way that facilitates the understanding by a larger audience of geometers of some of the current research in the subject. They contain a brief overview of the fundamental aspects of the theory of Alexandrov spaces with lower curvature bounds, as well as the aforementioned rigidity results with complete proofs..The text from Fernando Galaz-García’s minicourse was completed in collaboration with Jesús Nuñez-Zimbrón. It presents an up-to-date and panoramic view of the topology and geometry of 3-dimensional Alexandrov spaces, including the classification of positively and non-negatively curved spaces and the geometrization theorem. They also present Lie group actions and their topological and equivariant classifications as well as a brief account of results on collapsing Alexandrov spaces..Jesús Nuñez-Zimbrón’s contribution surveys two |
出版日期 | Conference proceedings 2022 |
关键词 | Alexandrov Geometry; Lower curvature bounds; Geometric rigidity results; Topological rigidity results; G |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-99298-9 |
isbn_softcover | 978-3-030-99300-9 |
isbn_ebook | 978-3-030-99298-9Series ISSN 2731-6521 Series E-ISSN 2731-653X |
issn_series | 2731-6521 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |