Blibliografia

Referencias principales

• [Lee] John M. Lee. Introduction to Riemannian Manifolds. Graduate Texts in Mathematics Vol. 176. Springer, 2019. Consultar en la BiDi UNAM
• Loring W. Tu. Differential Geometry Graduate Texts in Mathematics Vol. 275. Springer, 2017. Consultar en la BiDi UNAM
• Sternberg, Shlomo. Curvature in Mathematics and Physics. Mineola, New YorkDover Publications, Inc., 2012

Referencias adicionales

• [GP] Guillemin, Victor, and Alan Pollack. Differential topology. Vol. 370. American Mathematical Soc., 2010.
• [BJ] Bröcker, Theodor, and Klaus Jänich. Introduction to differential topology. Cambridge University Press, 1982.
• [Ca] Do Carmo, Manfredo Perdigão. Riemannian Geometry. Birkhäuser, 1992.
• Loomis, Lynn Harold, y Shlomo Sternberg. Advanced Calculus. World Scientific Publishing Company, 2014. PDF
• Sternberg, Shlomo. Lectures on differential geometry. Vol. 316. American Mathematical Soc., 1999.
• Tu, Loring W. An Introduction to Manifolds. New York, NY: Springer New York, 2011. Consultar en la BiDi UNAM
• Milnor, John. Topology from the differentiable viewpoint. Vol. 21. Princeton university press, 1997.

Recursos adicionales

• Clases y videos
  • International Winter School on Gravity and Light
  • The Poincaré Conjeture - Numberphile

Referencias avanzadas

• Spivak, Michael. Cálculo en variedades. Reverté, 2021.
• Spivak, Michael. A comprehensive introduction to differencial geometry. Publish or Perish, 1979.
• Hirsch, Morris W. Differential topology. Vol. 33. Springer Science & Business Media, 2012.
• Lee, Jeffrey M., et al. Manifolds and differential geometry. Topology 643 American Mathematical Society, 2009. Consultar en la BiDi UNAM
• Vasil'ev, V. A. Introduction to topology