C3.11 Riemannian Geometry (2023-24)
Section outline
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This problem sheet is based on the material in Sections 1 and 2 of the lecture notes.
There are three sections to the problem sheet. Sections A and B consist of core material and Section C consists of a slightly more advanced question.
Students should only hand in solutions to questions in Section B. -
This problem sheet is based on the material in Sections 2.3 and 3 of the lecture notes.
There are three sections to the problem sheet. Section A consists of core material, Section B consists of core material and some more supplementary questions and Section C consists of a more advanced question based on core material. All questions are definitely worth attempting, with Sections A and B the most important.
Students should NOT hand in any solutions. -
This problem sheet is based on the material in Sections 4, 5 and 6 of the lecture notes.
There are three sections to the problem sheet. Section A consists of core material, Section B consists of core material and some more supplementary questions and Section C consists of a significantly more advanced question but which is very interesting and relevant. The questions from Sections A and B are important to do, and Section C's question is worth having a go at, especially as there is a big hint.
Students should only hand in solutions to questions in Section B. -
This problem sheet is based on the material in Sections 7, 8 and 9 of the lecture notes.
There are three sections to the problem sheet. Section A consists of core material and useful to do, Section B consists of core material at a slightly more advanced level and Section C consists of a slightly more advanced style of question which is definitely worth trying.
Students should NOT hand in solutions to questions. -
These lectures notes provide all of the essential material for the course, as well as some additional points for interest.
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I give a list of what I consider to be essential formulae for the course. I also give a few useful but not essential formulae.
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