Differential Geometry

University of Alabama at Birmingham

CourseMA 675

Local and global theory of curves and surfaces; Fenchel s theorem; the first and second fundamental forms; surface area; Bernstein s theorem; Gauss theorema egregium; local intrinsic geometry of surfaces; Riemannian surfaces; Lie derivatives; covariant differentiation; geodesics; the Reimanncurvature tensor; the second variation of arc length; selected topics in the global theory of surfaces.

Credits

3 credits

Course Code

MA 675