路易斯·桑塔洛与经典场论
Luis Santaló and classical field theory
摘要：
被认为是积分几何的创始人之一，路易斯·桑塔洛对数学的各个领域做出了贡献。他的工作有应用在数论，在理论的微分方程，在随机几何，在功能分析，并在理论物理。20世纪50年代至70年代，他撰写了一系列关于广义相对论以及试图推广爱因斯坦理论以建立统一场论的论文。他的主要贡献是在这个问题上提供了一个分类定理的张量过多，人口爱因斯坦的广义理论。这篇论文是作者在庆祝路易斯·桑塔洛诞辰100周年之际发表的会议记录，重温了他在理论物理学方面的工作。
英文摘要：
Considered one of the founding fathers of integral geometry, Luis Santaló has contributed to various areas of mathematics. His work has applications in number theory, in the theory of differential equations, in stochastic geometry, in functional analysis, and also in theoretical physics. Between the 1950's and the 1970's, he wrote a series of papers on general relativity and on the attempts at generalizing Einstein's theory to formulate a unified field theory. His main contribution in this subject was to provide a classification theorem for the plethora of tensors that were populating Einstein's generalized theory. This paper, which is the transcript of the conferences delivered by the authors in occasion of the celebration of the 100th anniversary of Luis Santaló's birth, revisits his work on theoretical physics.
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