Differential Geometry 2024 pdf epub mobi 電子書下載

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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.

Differential Geometry 2024 pdf epub mobi 電子書下載

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發表於2024-11-24

Differential Geometry 2024 pdf epub mobi 電子書下載

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序我很榮幸受 Sharpe 教授之邀為他優美的著作作序. 在前言中他問齣瞭天真的問題: "為什麼微分幾何研究主叢上的聯絡?" 答案當然很簡單, 因為 Euclid 幾何研究主叢上的聯絡, 而所有幾何都是 Euclid 幾何在某種意義下的推廣. 事實上, 令 E^n 為 n 維 Euclid 空間. 我們稱 x, e_1,...

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