UNIVERSITY OF MINNESOTA 
SCHOOL OF MATHEMATICS

Lectures: MWF 12:20 p.m. - 1:10 p.m., VinH 364 .
Instructor: Naichung Conan Leung

• Geometry of curves and surfaces,
• Riemannian manifolds and vector bundles,
• de Rham cohomology and Hodge theory,
• Connections and curvature,
• Spin structures and Dirac operators,
• Geodesics, Jacobi fields, ......,
• Kahler manifolds,
• Symmetric spaces (?).
  

Course grades are based on assigned homework and tests.

Texts and References:
1. Jurgen Jost, Riemannian Geometry and Geometric Analysis, Springer-Verlag 2002.
2. Manfredo DoCarmo, Riemannian Geometry. Birkhauser, Boston 1992.
3. Manfredo DoCarmo, Differential Geometry of Curves and Surfaces. Prentice-Hall, New Jersey 1976.
4. Michael Spivak, A Comprehensive Introduction to Differential Geometry (Vols. III and IV). Publish or Perish, Inc.