一、課程說明(Course Description)
Isometric immersion, Complete manifolds, Spaces of constant curvature,
Variation of energy, The Rauch comparison theorem, The fundamental group of
manifolds of negative curvature, The sphere theorem






二、指定用書(Text Books)

Riemannian Geometry by Manfredo Perdigao Do Carmo






三、參考書籍(References)

Spivak: Differential Geometry 1--5
Cheeger: Comparison Theorems in Riemannian Geometry





四、教學方式(Teaching Method)

Lectures





五、教學進度(Syllabus)

Chapter by chapter





六、成績考核(Evaluation)

平時分數50% 上台報告50%





七、可連結之網頁位址