Differential Geometry pdf epub mobi txt 电子书下载 2024

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R.W. Sharpe

Springer

1997-06-12

471

USD 79.95

Hardcover

9780387947327

图书标签: GTM 微分几何数学 geometry Geometry mathematics 想买微分几何7

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发表于2024-11-21

Differential Geometry epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Differential Geometry pdf epub mobi txt 电子书下载 2024

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Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections. Although the author had in mind a book accessible to graduate students, potential readers would also include working differential geometers who would like to know more about what Cartan did, which was to give a notion of "espaces generalises" (= Cartan geometries) generalizing homogeneous spaces (= Klein geometries) in the same way that Riemannian geometry generalizes Euclidean geometry. In addition, physicists will be interested to see the fully satisfying way in which their gauge theory can be truly regarded as geometry.

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序我很荣幸受 Sharpe 教授之邀为他优美的著作作序. 在前言中他问出了天真的问题: "为什么微分几何研究主丛上的联络?" 答案当然很简单, 因为 Euclid 几何研究主丛上的联络, 而所有几何都是 Euclid 几何在某种意义下的推广. 事实上, 令 E^n 为 n 维 Euclid 空间. 我们称 x, e_1,...

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