Eighteen Essays in Non-Euclidean Geometry

Eighteen Essays in Non-Euclidean Geometry
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非欧几何论文十八篇

DOI:
10.4171/196
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发表时间:
2019
影响因子:
1
通讯作者:
A. Papadopoulos
A. Papadopoulos
中科院分区:
数学2区
文献类型:
--
作者:
Vincent Alberge;A. Papadopoulos

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本书由一系列关于广义非欧几里得几何的独立论文组成,包括常曲率(球面和双曲)的经典几何、德西特几何、反德西特几何、协欧几里得几何、协闵可夫斯基几何、埃尔米特几何以及一些公理定义的几何。其中一些文章涉及非常经典的问题,另一些则解决当今研究的核心问题,但所有文章都涉及基本主题。
This book consists of a series of self-contained essays on non-Euclidean geometry in a broad sense, including the classical geometries of constant curvature (spherical and hyperbolic), de Sitter, anti-de Sitter, co-Euclidean, co-Minkowski geometries, Hermitian geometry, and some axiomatically defined geometries. Some of these essays deal with very classical questions and others address problems that are at the heart of present day research, but all of them are concerned with fundamental topics.