course | course_year | question_number | tags | title | year | |||
---|---|---|---|---|---|---|---|---|
Geometry |
IB |
27 |
|
Paper 3, Section II, F |
2013 |
Show that the set of all straight lines in
Show that there is no metric
-
induces the locally Euclidean topology on
$S$ constructed above; -
is invariant under the natural action on
$S$ of the group of translations of$\mathbb{R}^{2}$ .
Show that the set of great circles on the two-dimensional sphere admits the structure of a smooth surface