Aspects of Differential Geometry IV
暫譯: 微分幾何的各個面向 IV

Calvino-Louzao, Esteban, Garcia-Rio, Eduardo, Gilkey, Peter

Aspects of Differential Geometry IV
  • 出版商: Morgan & Claypool
  • 出版日期: 2019-04-18
  • 售價: $3,530
  • 貴賓價: 9.5 折 $3,354
  • 語言: 英文
  • 頁數: 167
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1681735652
  • ISBN-13: 9781681735658

    • 海外代購書籍(需單獨結帳)

商品描述

Book IV continues the discussion begun in the first three volumes.

Although it is aimed at first-year graduate students, it is also intended to serve as a basic reference for people working in affine differential geometry. It also should be accessible to undergraduates interested in affine differential geometry. We are primarily concerned with the study of affine surfaces which are locally homogeneous. We discuss affine gradient Ricci solitons, affine Killing vector fields, and geodesic completeness. Opozda has classified the affine surface geometries which are locally homogeneous; we follow her classification. Up to isomorphism, there are two simply connected Lie groups of dimension 2. The translation group ℝ is Abelian and the

商品描述(中文翻譯)

書籍第四卷延續了前三卷開始的討論。

雖然本書的目標讀者是第一年研究生，但也旨在為從事仿射微分幾何的工作者提供基本參考資料。同時，本書也應該對對仿射微分幾何感興趣的本科生可讀。我們主要關注的是局部均勻的仿射曲面研究。我們討論仿射梯度 Ricci 自洽、仿射 Killing 向量場以及測地線的完備性。Opozda 已經對局部均勻的仿射曲面幾何進行了分類；我們遵循她的分類。根據同構的定義，存在兩個維度為 2 的單連通李群。平移群 ℝ 是阿貝爾的，並且

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