What are the books in Differential Geometry with good collection of problems. At present I am having John M.Lee's Riemannian Manifolds,Kobayashi Nomizu's Foundations of Differential Geometry. I particularly like Dieudonne's books in Analysis as well as the kind of like the Alexander Krillov's Functional Analysis.To be precise, the books that have a huge no. of exercises. I books I mentioned are definitely not of that category. Can anyone please suggest differential geometry books that gives a lot of exercises.
John M. Lee's Introduction to Smooth Manifolds is also a great book with lots of exercises.