Differenrial Manifolds

Description

Differentiable Manifolds, tangent space - Immersions and embeddings - Vector fields – brackets - Riemannian metrics - Affine connections - Riemannian connections - The geodesic flow - Minimizing properties of geodesics - Curvature, sectional curvature - Ricci curvature and scalar curvature - Tensors on Riemannian manifolds.

Section: 

Course Coordinators

Suggested References

  1. M. P. do Carmo, Riemannian Geometry, Birkhäuser 1992
  2. John M. Lee, Riemannian manifolds. An introduction to curvature, GTM 176, Springer-Verlag 1997
  3. W. Boothby, An introduction to differentiable manifolds and Riemannian geometry, Academic Press 1975
Semester: 
Credit Units (ECTS): 
10.0
ID: 
Γ4, 0658
Prerequisites: 
X