Course catalog

WiSe 21/22  
 Mathematics and...  
 Master's progra...  
 19202601  
19202601 Lecture

WiSe 21/22: 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 and notions of curvature
  • Vector fields, tensors, covariant derivative
  • Geodesic curves, exponential map
  • Gauß-Bonnet theorem, curvature and topology
  • Connection to discrete differential geometry

Prerequisits: Analysis I, II 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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32 Class schedule

Regular appointments

Tue, 12:00 - 14:00 Differentialgeometrie I (Serientermin 1) 16 Class schedule
Tue, 2021-10-19 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2021-10-26 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2021-11-02 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2021-11-09 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2021-11-16 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2021-11-23 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2021-11-30 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2021-12-07 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2021-12-14 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2022-01-04 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2022-01-11 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2022-01-18 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2022-01-25 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2022-02-01 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2022-02-08 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Tue, 2022-02-15 12:00 - 14:00
Differentialgeometrie I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 12:00 - 14:00 Differentialgeometrie I (Serientermin 2) 16 Class schedule
Thu, 2021-10-21 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2021-10-28 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2021-11-04 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2021-11-11 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2021-11-18 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2021-11-25 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2021-12-02 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2021-12-09 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2021-12-16 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2022-01-06 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2022-01-13 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2022-01-20 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2022-01-27 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2022-02-03 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2022-02-10 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Thu, 2022-02-17 12:00 - 14:00
Differentialgeometrie I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Konrad Polthier

Location:
Virtueller Raum 21

Back to list of modules

Location: Virtueller Raum 21

Schedule: Di 12:00-14:00, Do 12:00-14:00

Class starts on: 2021-10-19

Course language: German/English

Contact hours: 4

Limited attendance: No

Attendance required: No

Relevant semester: 0

Modules where this course belongs:
0084cB3.5
0084dB3.5
0213bA1.4
0280bA1.1
0280cA1.3
0280cA4.1
0280cA4.2
0280cA4.3
E17iA1.1
E17oA1.1

Subjects A - Z