Schwarz-Pick Lemma

If is an analytic map of the Disk into and preserves the hyperbolic distancebetween any two points, then is a disk map and preserves all distance.

References

Busemann, H. The Geometry of Geodesics. New York: Academic Press, p. 41, 1955.

• Skeleton Division
• Skew Conic
• Skewes Number
• Skew Field
• Skew Lines
• Skewness
• Skew Polyomino
• Skew Quadrilateral
• Skew Symmetric Matrix
• Sklar's Theorem
• Skolem-Mahler-Lerch Theorem
• Skolem Paradox
• Skolem Sequence
• Slant Height
• Slice Knot
• Slide Move
• Slide Rule
• Slightly Defective Number
• Slightly Excessive Number
• Slip Knot
• Slope
• Slothouber-Graatsma Puzzle
• Slutzky-Yule Effect
• Sluze Pearls
• Smale-Hirsch Theorem