一、課程說明(Course Description)
<br>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
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<br> 二、指定用書(Text Books)
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<br>Riemannian Geometry by Manfredo Perdigao Do Carmo
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<br> 三、參考書籍(References)
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<br>Spivak: Differential Geometry 1--5
<br>Cheeger: Comparison Theorems in Riemannian Geometry
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<br> 四、教學方式(Teaching Method)
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<br>Lectures
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<br> 五、教學進度(Syllabus)
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<br>Chapter by chapter
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<br> 六、成績考核(Evaluation)
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<br>平時分數50%  上台報告50%
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<br> 七、可連結之網頁位址
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