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