Bibliografía

Bibliografía básica

  • Do Carmo, Manfredo Perdigão, and J. Flaherty Francis. Riemannian geometry. Vol. 115. Boston: Birkhäuser, 1992.
  • Lee, John M. Riemannian manifolds: an introduction to curvature. Vol. 176. Springer Science & Business Media, 2006.

Bibliografía adicional de Geometría Riemanniana

  • Milnor, John. Morse Theory.(AM-51). Vol. 51. Princeton university press, 2016.
  • Petersen, Peter. Riemannian geometry. Vol. 171. New York: Springer, 2006.
  • O’neill, Barrett. Semi-Riemannian geometry with applications to relativity. Vol. 103. Academic press, 1983.
  • Sternberg, Shlomo. Curvature in mathematics and physics. Courier Corporation, 2013.
  • Spivak, Michael. Comprehensive Introduction to Differential Geometry, 1981.

Bibliografía básica de topología diferencial

  • Guillemin, Victor, and Alan Pollack. Differential topology. Vol. 370. American Mathematical Soc., 2010.
  • Milnor, John Willard. Topology from the differentiable viewpoint. Princeton University Press, 1997.
  • Bröcker, Theodor, and Klaus Jänich. Introduction to differential topology. Cambridge University Press, 1982.
  • Golubitsky, Martin, and Victor Guillemin. Stable mappings and their singularities. Vol. 14. Springer Science & Business Media, 2012.
  • V. A. Vassiliev Introduction to Topology. Student Mathematical Library, V. 14. American Mathematical Soc., 2001.
  • Lee, John M. “Smooth manifolds.” Introduction to Smooth Manifolds. Springer New York, 2003. 1-29.
  • Sternberg, Shlomo. Lectures on differential geometry. American Mathematical Soc., 1999.

Bibliografía extendida/temas cercanos

  • Arnol’d, Vladimir Igorevich. Mathematical methods of classical mechanics. Vol. 60. Springer Science & Business Media, 2013.
  • Helgason, Sigurdur. Differential geometry and symmetric spaces. Vol. 12. Academic press, 1962.
  • Do Carmo, Manfredo P. Differential forms and applications. Springer Science & Business Media, 2012.
  • Spivak, Michael. Calculus on manifolds: a modern approach to classical theorems of advanced calculus. Westview Press, 1971.
  • Besse, Arthur L. Einstein manifolds. Springer Science & Business Media, 2007.
  • Berger, Marcel. A panoramic view of Riemannian geometry. Springer Science & Business Media, 2012.
  • Berger, Marcel. Geometry revealed: a Jacob’s ladder to modern higher geometry. Springer Science & Business Media, 2010.
  • Berger, Marcel. Riemannian geometry during the second half of the twentieth century. Vol. 17. American Mathematical Soc., 2000.
  • Wolf, Joseph Albert. Spaces of constant curvature. Vol. 96. New York: McGraw-Hill, 1967.
  • Warner, Frank W. Foundations of differentiable manifolds and Lie groups. Vol. 94. Springer Science & Business Media, 2013.
  • Morgan, F. (1998). Riemannian Geometry: A Beginners Guide. AK Peters/CRC Press.