Differential Geometry II

This lecture will be held in the summer term 2021. It builds upon the lecture Differential Geometry I by Clara Löh held during the winter term 2020/21.
Information about the content of this lectures will be published in January or February 2021.

Literature

Skripts

• B. Ammann, Lineare Algebra I, WS 2007/08
• B. Ammann, Analysis I+II, 2018/19
• B. Ammann, Analysis III, WS 2019/20
• B. Ammann, Analysis IV, SS 2020

Books

• M. do Carmo, Riemannian Geometry, Birkhäuser
• Cheeger, Ebin, Comparison theorems in Riemannian Geometry
• B. O'Neill, Semi-Riemannian geometry. With applications to relativity. Pure and Applied Mathematics, 103. Academic Press
• F. Warner, Foundations of differentiable manifolds and Lie groups, Springer
• T. Sakai, Riemannian Geometry, Transl. Math. Monogr., AMS
• W. Kühnel, Differentialgeometrie, Vieweg
• J. Lee, Introduction to topological manifolds, Springer
• J. Lee, Introduction to smooth manifolds, Springer
• J. Lee, Riemannian manifolds, Springer