2011-28.md

course	course_year	question_number	tags	title	year
Geometry	IB	28	IB 2011 Geometry	Paper 4, Section II, F	2011

Suppose that $P$ is a point on a Riemannian surface $S$. Explain the notion of geodesic polar co-ordinates on $S$ in a neighbourhood of $P$, and prove that if $C$ is a geodesic circle centred at $P$ of small positive radius, then the geodesics through $P$ meet $C$ at right angles.