Course catalog

WiSe 25/26  
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 19202601  
19202601 Lecture

Differential Geometry I

Konrad Polthier

Additional information / Pre-requisites

Comments

Topics of the lecture will be:

  • curves and surfaces in Euclidean space,
  • metrics and (Riemannian) manifolds,
  • surface tension, notions of curvature,
  • vector fields, tensors, covariant derivative
  • geodesic curves, exponential map,
  • Gauß-Bonnet theorem, topology,
  • connection to discrete differential geometry.

This course is a BMS course and will be held in English on request.

Prerequisits:

Analysis I, II, III and Linear Algebra I, II

 

 

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Suggested reading

Literature

  • W. Kühnel: Differentialgeometrie:Kurven - Flächen - Mannigfaltigkeiten, Springer, 2012
  • M. P. do Carmo, Differential Geometry of Curves and Surfaces, Prentice Hall
  • J.-H. Eschenburg, J. Jost: Differentialgeometrie und Minimalflächen, Springer, 2014
  • C. Bär: Elementare Differentialgeometrie, de Gruyter, 2001
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31 Class schedule

Regular appointments

Wed, 10:00 - 12:00 Differentialgeometrie I 16 Class schedule
Wed, 2025-10-15 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2025-10-22 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2025-10-29 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2025-11-05 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2025-11-12 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2025-11-19 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2025-11-26 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2025-12-03 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2025-12-10 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2025-12-17 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2026-01-07 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2026-01-14 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2026-01-21 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2026-01-28 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2026-02-04 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Wed, 2026-02-11 10:00 - 12:00
Differentialgeometrie I

Location:
KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Mon, 10:00 - 12:00 15 Class schedule
Mon, 2025-10-20 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-10-27 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-11-03 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-11-10 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-11-17 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-11-24 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-12-01 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-12-08 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-12-15 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2026-01-05 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2026-01-12 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2026-01-19 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2026-01-26 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2026-02-02 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2026-02-09 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

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Location: KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

Schedule: Mo 10:00-12:00, Mi 10:00-12:00

Class starts on: 2025-10-15

Course language: German/English

Contact hours: 4

Limited attendance: No

Attendance required: No

Relevant semester: 0

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