Mathematische Werke / Mathematical Works
Mathematische Werke / Mathematical Works
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数学著作/数学著作
DOI：
10.1515/9783110905434
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发表时间：
2011
影响因子：
0.5
通讯作者：
O. Riemenschneider
中科院分区：
文献类型：
--
作者：
E. Kähler;R. Berndt;O. Riemenschneider
对于大多数数学家和许多数学物理学家来说，埃里希·卡勒(Erich Kahler，1906-2000)这个名字与重要的几何概念密切相关，如卡勒度量、卡勒流形和卡勒群。它们都可以追溯到1932年写的一篇14页的论文。然而，这只是卡勒众多杰出成就中的一小部分，这些成就涵盖了一个异常广泛的领域：他的主要兴趣是在各种数学主题中找到统一性，从而将数学确立为一种通用语言。在这本书中，卡勒的数学论文是在S.S.Chern的《向Herrn Erich Kahler致敬》、A.Bohm和R.Berndt对Kahler的生活数据的概述以及编辑对他的数学工作的概述之后收集的。也有关于卡勒工作的主要主题的发展的评论和报道。由于卡勒的兴趣超越了数学和数学物理领域，如果不触及其他领域，他的工作的任何画面都是不完整的。因此，一个简短的附录转载了他的三篇文章，内容涉及他将数学视为一个普遍主题的愿景，以及K·莫林的一篇文章，该文章介绍了埃里希·卡勒的哲学。
For most mathematicians and many mathematical physicists the name Erich Kahler (1906 - 2000) is strongly tied to important geometric notions such as Kahler metrics, Kahler manifolds and Kahler groups. They all go back to a paper of 14 pages written in 1932. This, however, is just a small part of Kahler's many outstanding achievements which cover an unusually wide area: His principal interest was in finding the unity in the variety of mathematical themes and establishing thus mathematics as a universal language. In this volume Kahler's mathematical papers are collected following a "Tribute to Herrn Erich Kahler" by S. S. Chern, an overview of Kahler's life data by A. Bohm and R. Berndt, and a Survey of his Mathematical Work by the editors. There are also comments and reports on the developments of the main topics of Kahler's work. As Kahler's interest went beyond the realm of mathematics and mathematical physics, any picture of his work would be incomplete without touching his work reaching into other regions. So a short appendix reproduces three of his articles concerning his vision of mathematics as a universal Theme together with an essay by K. Maurin giving an "Approach to the philosophy of Erich Kahler".