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Möbius transformation
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Words: 286
Articles: 9
A Möbius transformation of the Riemann sphere has the form
z
⟼
cz
+
d
a
z
+
b
,
a
d
−
b
c
=
0.
(197)
The group is generated by translations, nonzero complex scalings, and inversion
z
↦
1/
z
.
Table of contents
286
9
Cross-ratio
Möbius transformation
25
Generalized circle under a Möbius transformation
Möbius transformation
43
Affine subgroup of the Möbius group
Möbius transformation
32
Fixed point of a Möbius transformation
Möbius transformation
81
2
Prescribed fixed points of a Möbius transformation
Fixed point of a Möbius transformation
34
Fixed points of a finite-order Möbius transformation
Fixed point of a Möbius transformation
32
Constant-argument locus of a Möbius transformation
Möbius transformation
27
Classification of Möbius transformations by trace
Möbius transformation
18
Möbius maps commuting with reflection in the unit circle
Möbius transformation
34
Ancestors
(6)
Projective linear group
Group theory
Algebra
Area of mathematics
Mathematics
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Conformal equivalence between the upper half-disc and upper half-plane
Solution
Solution
Solution
Solution
Solution
Solution
Solution
Solution
Solution
Solution
Projective general linear group action on the projective line