MATH 534 - DIFFERENTIAL GEOMETRY


Spring 2002


Math534 : Differential Geometry. A garduate course but fourth and third year undergraduate students can follow the course.

Text book

S S Chern , W H Chen and K S Lam , Lectures on Differential Geometry, World Scientific, 1999

Content

Differentiable manifolds, multilinear algebra, Exterior Differential Calculus, Connections , Riemannian Geometry, Lie groupd and Moving frames, Complex manifolds, Finsler Geomtery. Please see also the "Course Syllabus" below

Course Schedule

  • Thursday 15.40-16.30 , (Seminar Room)
  • Friday 13.40-16.30 , (SAZ-20)

    Exams

  • (25%) Midterm Exam
  • (25%) Homeworks (at least 2)
  • (25%) Projects (lecturing: Program given below)
  • (25%) Final Exam

    see grades for your homework, lecture, midterm and final exams

    Homeworks

    1. Set 1. dvi file , ps file
    2. Set 2. ps file
    3. exercise set ps file
    4. midterm with solutions

    Course Syllabus

    (Tentative)
    1. Feb.07 Differentiable manifolds (MG).
    2. Feb.14 Multi linear algebra. (Tansel+Hikmet)
    3. Feb.21 Exterior Differential Calculus . (Palta+Sahin)
    4. Feb.28 Exterior Differential Calculus . (",")
    5. Mar.06 Connections . (MG)
    6. Mar.13 Riemannian Geometry . (MG)
    7. Mar.20 Riemannian Geometry . (MG)
    8. Mar.27 Lie Groups and Moving Frames . (Kesir+Yildiz)
    9. Apr.03 Lie Groups and Moving Frames). (",")
    10. Apr.10 Complex Manifolds . (Yarener+Tek)
    11. Apr.17 Complex Manifolds . (", ", ")
    12. Apr.24 Finsler Geometry .(MG)
    13. May.01 Finsler Geometry . (MG)
    14. May.08 Finsler Geometry .(MG)
    15. May.15 Finsler Geometry (MG)
    16. Frobenius Manifold (Zheltukhin)
    Kesir , Yildiz and Zheltukhin will talk on Thursdays. We will decide on the date of lecturing later. Perhaps In May. All the others will talk on Fridays.
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    Last update February 2002