ΓΕ1 - Differential Geometry
Syllabus
- Manifolds of the Euclidean space.
- Tangent and normal bundles.
- 1st and 2nd fundamental forms.
- Weingarten operator and Gauss map.
- Convex hypersurfaces.
- Hadamard’s Theorem.
- 1st and 2nd variation of area.
- Minimal submanifolds.
- Weierstrass representation.
- Bernstein’s Τheorem.