Introduction to Riemannian Geometry

 

Lecturer: Prof. Vladimir Rovenski

room 624, Office tel.: 04-8288422
E-mail:
vrovenski@univ.haifa.ac.il
 

   Requirements of the course and a formula of a final mark, click here

 

 

 

 

 

 

Syllabus 

 click here

 

Shaot kabala:

Sunday (1), 15-16, room 624

 

Lessons

 

Monday (2), 16.15-17.45,
room 404

 

Wednesday (5), 10.15-11.45,
room 717

 

Exam:

 

Final marks  

click here.

  

 Final project should be presented before 16:00 on 09 of August.
 To place printed version of project in Rovenski's mail box.
  To send zip file with files of project (type TZ): XXXXXXXXX_project.zip
  by email: rovenski@math.haifa.ac.il

Seminar-meeting for defenses of project:
XX of July at 12:00, r. 614.

Project must include:

1. Title, student name, contents, Main part, References (Bibliography).
2. Main part include: text, examples, problems and their solutions.
    Figures - not large.

Material for Lessons

Books

1. Riemannian geometry   for djvu file click  here

2.  Tensors                      for pdf file click  here  

3.  Differentiable Manifolds …  for pdf file click here  

4.  Introduction to Differential Geometry and General Relativity for pdf file click here

5.  Manifolds_and_Differential_Geometry …  for djvu file click here  

6.  Tensors                      for djvu file click  here  

7. Relativity  for pdf file click   here   see also sites STO and GTO

8. General Relativity  for pdf file click here

Materials of Lecture: relativity & black holes, see in book 5. pages 627-634.

To obtain zip file with materials click  here   

 Tasks: 1, 2, 3, 4

Task 1 (deadline xx.04.2017): (study 1.25, 1.27,1.31-32,1.44,1.48,1.50,1.52 ...)
 Solve/study 12 problems from [3] - at least
2 from each section: 1.3, 1.4, 1.5, 1.6, 1.7, 1.8

Task 2: deadline xx.05.2017.
A) Solve 10 problems from the book "2. Tensors (and their applications)": 3 from Chapter 2; 3 from Chapter 3; 4 from Chapter 4.
B) Solve problems from pdf file: at least P1 (50%), P2 (66%), P3 (50%), P4 (50%), P5, P6, P7 
(see zip file with materials). Show theoretical formulas and use them to compute.

Task 3 deadline xx.06.2017: file Quiz_targil3.jpg (from zip)

Task 4 deadline xx.06.2017

4. Final project: 
    13.07.2017 at 14:00 r. 624 - meeting (if any questions) 
   
09.08.2017 - submitting of projects, 
   
14.08.2017
at 14:00, r. 624 or seminars room
    - defenses of projects "aleph"
.

  17.08.2017 at 14:00, r. 624 or seminars room
    - defenses of projects "beth (final)"
.

 

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