1. S.Kobayashi, K. Nomizu , "Foundations of Differential Geometry" Vol I,II John Wiley & Sons (1969) ;
2. F. Warner "Foundations of Differentiable Manifolds and Lie groups " , Springer Verlag (1983)
3. S Gallot, D. Hulin, J.Lafontaine, "Riemannian Geometry" , Springer (1987).
4. D. Gromoll, W. Klingenberg, W. Meyer, " Riemannsche Geometrie im Grossen", Lecture Notes in Math. 55, Springer (1975).
5. T. Sakai, "Riemannian Geometry", Translations of Mathematical Monographs 149, AMS (1996)
6. S. Helgason "Differential Geometry, Lie Groups and Symmetric Spaces" Graduate Studies in Math. , A.M.S. (2001)
Learning Objectives
The course aims at providing basic notions in Differential Geometry and Lie group theory, with particular interest in the Lie group actions on manifolds endowed with invariant geometric structures.