Summer 2010

Written exam

• Die Nachklausur findet am 11. Oktober von 11:00 - 12:30 Uhr statt (SR 025/26).

  The final written exam will take place on July 12th, 09:30 - 11:30 am, SR 032. A mock exam (Probeklausur) will be handed out as 11th exercise sheet on June 26th and will be dicussed in the last tutorial before the exam on July 5th. There will be a resit (Nachklausur) on October 11th.

Content

• Differential geometry II continues the study of curved spaces. Topics of this semester will be:

  1. * Levi-Cività connection
  2. * exponential map and normal coordinates
  3. * Jacobi fields
  4. * model spaces, space forms and regular tilings
  5. * Lie groups

Prerequisites

• Differential geometry I, basic linear algebra and calculus

Worksheets

• Exercise Sheet 1, due April 24th
• Exercise Sheet 2, due April 26th
• Exercise Sheet 3, due May 8th
• Exercise Sheet 4, due May 10th
• Exercise Sheet 5, due May 24th
• Exercise Sheet 6, due May 31st
• Exercise Sheet 7, due June 7th
• Exercise Sheet 8, due June 14th
• Exercise Sheet 9, due June 21st
• Exercise Sheet 10, due June 28th
• Exercise Sheet 11 (Probeklausur), due July 5th

Lecture notes

• April 12th
• April 17th
• April 19th
• April 24th
• April 26th
• May 3rd
• May 8th
• May 10th
• May 22nd
• May 24th
• May 29th
• May 31st
• June 5th
• June 7th
• June 12th
• June 14th
• June 19th
• June 21th

Written Exam

• To qualify for the written exam, you have to attend the tutorial regularly and participate actively, including at least one presentation of a solution in class. There is no mandatory percentage of points in the homework that has to be achieved but we encourage you to work on all exercises and hand in your solutions in groups of two.

Literature

• John M. Lee: Introduction to smooth manifolds
• John M. Lee: Riemannian Manifolds
• Wolfgang Kühnel: Differentialgeometrie
• Barret O'Neill: Semi-Riemannian Manifolds
• (The last two are available from within the FU net or via VPN.)