5302 - 近代幾何學專題(二) 英授 Taught in English

Topics in Modern Geometry (II)

教育目標 Course Target

Provides students some important notions in modern geometry such as analysis in Riemannian manifolds, relationships between curvature and topology, fundamental groups, hyperbolic geometry and Gromov-Hausdorff distance etc.

Provides students some important notions in modern geometry such as analysis in Riemannian manifolds, relationships between curvature and topology, fundamental groups, hyperbolic geometry and Gromov-Hausdorff distance etc.

參考書目 Reference Books

1.Berger, Marcel (2000), Riemannian Geometry During the Second Half of the Twentieth Century, University Lecture Series, 17, Rhode Island: American Mathematical Society
2.Cheeger, Jeff; Ebin, David G. (2008), Comparison theorems in Riemannian geometry, Providence, RI: AMS Chelsea Publishing.
3.Gallot, Sylvestre; Hulin, Dominique; Lafontaine, Jacques (2004), Riemannian geometry, Universitext (3rd ed.), Berlin: Springer-Verlag.
4.Jost, Jürgen (2002), Riemannian Geometry and Geometric Analysis, Berlin: Springer-Verlag.
5.Selected Papers

1.Berger, Marcel (2000), Riemannian Geometry During the Second Half of the Twentieth Century, University Lecture Series, 17, Rhode Island: American Mathematical Society
2.Cheeger, Jeff; Ebin, David G. (2008), Comparison theorems in Riemannian geometry, Providence, RI: AMS Chelsea Publishing.
3.Gallot, Sylvestre; Hulin, Dominique; Lafontaine, Jacques (2004), Riemannian geometry, Universitext (3rd ed.), Berlin: Springer-Verlag.
4.Jost, Jürgen (2002), Riemannian Geometry and Geometric Analysis, Berlin: Springer-Verlag.
5.Selected Papers

評分方式 Grading

評分項目
Grading Method
配分比例
Percentage
說明
Description
Oral Test
Oral Test
50
Paper Presentation
Paper Presentation
50

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課程資訊 Course Information

基本資料 Basic Information

  • 課程代碼 Course Code: 5302
  • 學分 Credit: 0-3
  • 上課時間 Course Time:
    Tuesday/2,3,4[ST504]
  • 授課教師 Teacher:
    陳文豪
  • 修課班級 Class:
    理院3,4,碩博 (理院開)
  • 選課備註 Memo:
    全英授課
選課狀態 Enrollment Status

目前選課人數 Current Enrollment: 2 人

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