A List of Differential Geometry Reference Books

1. M. Berger, B. Gostiaux, and S. Levy, Differential geometry Manifolds, curves, and surfaces. Springer-Verlag, 1988.
2. W. M. Boothby, An introduction to differentiable manifolds and Riemannian geometry. Academic Press, 2010.
3. W. L. Burke, Applied differential geometry. Cambridge University Press, 1997.
4. L. P. Eisenhart, A Treatise on the Differential Geometry of Curves and Surfaces. Dover Publications, 2013.
5. L. P. Eisenhart, An introduction to differential geometry: with use of the tensor calculus. Dover Publications, 2014.
6. J.-M. Ginoux, Differential geometry applied to dynamical systems. World Scientific, 2009.
7. N. J. Hicks, Notes on differential geometry. Van Nostrand Reinhold, 1975.
8. V. G. Ivancevic and T. T. Ivancevic, Applied differential geometry: a modern introduction. World Scientific, 2007.
9. T. A. Ivey and J. M. Landsberg, Cartan for beginners: differential geometry via moving frames and exterior differential systems. American Mathematical Society, 2016.
10. Kobayashi Shōshichi and K. Nomizu, Foundations of differential geometry. John Wiley, 1996.
11. Kühnel Wolfgang, Differential geometry: curves, surfaces, manifolds. American Mathematical Soc., 2015.
12. S. Lang, Differential and riemannian manifolds. Springer-Verlag New York, 2012.
13. J. M. Lee, Riemannian manifolds: an introduction to curvature. Springer, 1997.
14. M. Luksic and C. Martin, Differential geometry: the interface between pure and applied mathematics. American Math. Soc., 1991.
15. S. C. Newman, Semi-Riemannian geometry: the mathematical language of general relativity. John Wiley & Sons, Inc., 2019.
16. B. O'Neill, Elementary Differential Geometry. Elsevier Science, 2014.
17. B. O'Neill, Semi-Riemannian geometry: with applications to relativity. Academic Press, 2010.
18. Pure and applied differential geometry: PADGE 2012: in memory of Franki Dillen. Shaker, 2013.
19. M. Spivak, A comprehensive introduction to differential geometry. Publish or Perish, Incorporated, 2005.
20. Y. Talpaert, Differential geometry with applications to mechanics and physics. Dekker, 2001.