Differential Geometry I
Differential geometry studies local and global properties of curved spaces.
Topics of the lecture will be:
* curves and surfaces in Euclidean space,
* metrics and (Riemannian) manifolds,
* surface tension and notions of curvature,
* vector fields, tensors and covariant derivative,
* geodesic curves and the exponential map,
* GaußBonnet theorem and topology,
* discrete differential geometry.
(19202601)
participation in the tutorials: at least 85 % are required amount of points in the homeworks: at least 60 % are requiredType  Lecture 

Instructor  Prof. Dr. Konrad Polthier 
Language  English 
Room  Arnimallee 6 
Start  Oct 16, 2017  12:00 PM 
end  Feb 16, 2018  06:00 PM 
Time  * Lecture: Monday, 12 14, SR 031/A7 (starting Oct., 16th, 2017) Wednesday, 1214, SR 007/008/A6 * Tutorials (starting Oct., 19th, 2017):
*Exams:

Note  The inspection for the second exam will take place June, 4th, 2018, in 108/109/A6 from 9 to 10 am. If you are unable to come, until May, 2nd, 2018, you can send an email to Henriette.Lipschuetz@fuberlin.de to make an appointment. 
Requirements
Analysis IIII,
Linear Algebra I & II
Literature
 W. Kühnel: Differentialgeometrie: Kurven  Flächen  Mannigfaltigkeiten, Springer, 2012 (english edition: Differential Geometry: Curves  Surfaces  Manifolds, Springer)
 M. P. do Carmo, Differential Geometry of Curves and Surfaces, Prentice Hall
 J.H. Eschenburg, J. Jost: Differentialgeometrie und Minimalflächen, Springer, 2014
 Ch. Bär: Elementare Differentialgeometrie, de Gruyter, 2001 (english edition: Elementary Differential Geometry, de Gruyter)
 M. Spivac: A Comprehensive Introduction To Differential Geometry, Publish or Perish, 1999