Aspects of Differential Geometry III (Synthesis Lectures on Mathematics and Statistics)
暫譯: 微分幾何的各個面向 III（數學與統計綜合講座）
Esteban Calviño-Louzao, Eduardo García-Río, Peter Gilkey, Jeong Hyeong Park, Ramón Vázquez-Lorenzo
- 出版商: Morgan & Claypool
- 出版日期: 2017-05-25
- 售價: $1,840
- 貴賓價: 9.5 折 $1,748
- 語言: 英文
- 頁數: 160
- 裝訂: Paperback
- ISBN: 1627056866
- ISBN-13: 9781627056861
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相關分類:
機率統計學 Probability-and-statistics
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商品描述
Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book III is aimed at the first-year graduate level but is certainly accessible to advanced undergraduates. It deals with invariance theory and discusses invariants both of Weyl and not of Weyl type; the Chern‒Gauss‒Bonnet formula is treated from this point of view. Homothety homogeneity, local homogeneity, stability theorems, and Walker geometry are discussed. Ricci solitons are presented in the contexts of Riemannian, Lorentzian, and affine geometry.
商品描述(中文翻譯)
微分幾何是一個廣泛的領域。我們選擇專注於某些適合該主題入門的方面；並未嘗試進行百科全書式的處理。第三本書的目標是針對一年級研究生，但對於高年級本科生來說也絕對可讀。它涉及不變性理論，並討論了魏爾型和非魏爾型的不變量；從這個角度來看，處理了陳‒高斯‒博內公式。書中討論了同類性均勻性、局部均勻性、穩定性定理以及沃克幾何。里奇孤立子在黎曼幾何、洛倫茲幾何和仿射幾何的背景下進行了介紹。
