2010-24.md

course	course_year	question_number	tags	title	year
Geometry	IB	24	IB 2010 Geometry	Paper 1, Section I, F	2010

(i) Define the notion of curvature for surfaces embedded in $\mathbb{R}^{3}$.

(ii) Prove that the unit sphere in $\mathbb{R}^{3}$ has curvature $+1$ at all points.