MATH5061 - Riemannian Geometry I - 2015/16

General Information

Lecturer

• WAN, Yau Heng Tom
  • Office: LSB215
  • Tel: 3943 7986
  • Email:

Time and Venue

• Lecture: Monday 9:30-12:15pm; LSB222

Course Description

This course is intended to provide a solid background in Riemannian Geometry. Topics include: affine connection, tensor calculus, Riemannian metric, geodesics, curvature tensor, completeness and some global theory. Students taking this course are expected to have knowledge in differential geometry of curves and surfaces.

References

• S. Gallot, D. Hulin, J. Lafontaine, "Riemannian Geometry", 3rd Ed., Springer
• J. Jost, "Riemannian Geometry and Geometric Analysis", 2nd Ed., Springer
• I. Chavel, "Riemannian Geometry - A Modern Introduction", Cambridge
• 伍鴻熙，沈純理，虞言林，《黎曼幾何初步》，北京大學出版社

Lecture Notes

• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4
• Lecture 5
• Lecture 6
• Lecture 7
• Lecture 8
• Lecture 9
• Lecture 10
• Lecture 11
• Lecture 12

Tutorial Notes

• 14-15 exam paper
• 13-14 exam paper

Assessment Scheme

Honesty in Academic Work

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and thereby help avoid any practice that would not be acceptable.