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Literature on differential geometry, suggestions?

  1. Sep 19, 2013 #1
    I am reading Spivak, Calculus on manifolds, and I have a basic working knowledge of topology through Mendelson, "Introduction to Topology", I want to learn more about differential geometry, especially co variant derivatives, levi-civita connections, Ricci and Rieman curvature tensors. I know about the fundamental forms, and Rieman metrics. I am interested in general relativity but It's impossible for me to learn anything substantial about it without learning more about differential geometry. By the way, I am very familiar with differential forms, differentiable manifolds, and the classic multivariable stuff. Any suggestions?
     
  2. jcsd
  3. Sep 19, 2013 #2
    Try "Riemannian Manifolds: An Introduction to Curvature" by John M. Lee.
     
  4. Sep 21, 2013 #3
    thanks, any other suggestions?
     
  5. Sep 21, 2013 #4

    robphy

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    ONeill's Semi-Riemannian Geometry
     
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