MathDB
Problems
Contests
Undergraduate contests
Arnold's Trivium
1991 Arnold's Trivium
41
Problem 41
Problem 41
Source:
July 1, 2010
Problem Statement
Find the geodesic curvature of the line
y
=
1
y=1
y
=
1
in the upper half-plane with the Lobachevskii—Poincare metric
d
s
2
=
(
d
x
2
+
d
y
2
)
/
y
2
ds^2=(dx^2+dy^2)/y^2
d
s
2
=
(
d
x
2
+
d
y
2
)
/
y
2
Back to Problems
View on AoPS