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.
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
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| Oral TestOral Test Oral Test |
50 | |
| Paper PresentationPaper Presentation Paper Presentation |
50 |
