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Published Nov. 24, 2017 3:23 PM

The syllabus consists of the lecture notes "Vector bundles and connections" as well as the following parts of do Carmo's book:

Chapters 1 - 3,

Chapter 4 until Definition 5.7,

Chapter 5 until Remark 2.6, except Example 2.3,

Chapter 6 until Proposition 2.9, and Proposition 3.1 (a),

Chapter 7.

Published Nov. 14, 2017 2:07 PM

The final exam will be held on Friday the 8th December.

Published Oct. 4, 2017 4:22 PM

The student representative for this course is Igor Kartamyschew, igorkar[O]student.matnat.uio.no.

Published Oct. 2, 2017 5:44 PM

Here is the assignment, to be returned through Devilry by the 18th October at 14:00. If you submit scanned handwritten solutions I would appreciate receiving the original as well, for instance in the lecture on the 18th.

Published Sep. 28, 2017 1:28 PM

We will do #4 on page 46 and #8 on page 58.

Published Sep. 21, 2017 5:18 PM

In this new version of the notes I have added the definition of subbundle and the material on orthogonal connections covered in the last lecture.

Published Sep. 21, 2017 2:43 PM

The problems will be discussed on Wednesday the 27th September.

Published Sep. 21, 2017 1:37 PM

The assignment will be posted no later than the 4th October and must be returned by the 18th October 2017.

Published Sep. 18, 2017 12:15 PM

These notes contain the material covered in the lectures until we started on do Carmo's book.

Published Sep. 11, 2017 12:08 PM

Here is the problem sheet. We will discuss the first two problems this Wednesday and the rest next Wednesday.

Published Sep. 8, 2017 11:37 AM

From autumn 2017 all mandatory assignments must be uploaded to Devilry. 

  • The assignment must be submitted as a single PDF file. 
  • Scanned pages must be clearly legible. If these two requirements are not met, the assignment will not be assessed, but a new attempt may be given.
  • The submission must contain your name, course and assignment number. 

Read the information about assignment carefully. http://www.uio.no/english/studies/examinations/compulsory-activities/mn-math-mandatory.html

 
 
Published Sep. 5, 2017 10:35 AM

Here are the notes for the first two lectures. The discussion of frames has been moved to the end of Section 1.

Published Aug. 28, 2017 4:16 PM

The notes are here.

Published Aug. 7, 2017 2:24 PM

Manfredo Perdig?o do Carmo:  "Riemannian Geometry", 1992 Birkh?user.