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Conformal invariance of harmonicity
...
Mathematics
Area of mathematics
Analysis
Complex analysis
Riemann surfaces
Harmonic function on a Riemann surface
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Words: 21
Under a holomorphic coordinate change
w
=
w
(
z
)
,
Δ
z
(
H
∘
w
)
=
∣
w
′
(
z
)
∣
2
(
Δ
w
H
)
∘
w
,
(90)
so the condition
Δ
H
=
0
is independent of the holomorphic chart.
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Harmonic function on a Riemann surface
Riemann surfaces
Complex analysis
Analysis
Area of mathematics
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