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Compatible triple
(
(
ω
,
J
,
g
)
)
Codex
(
@codex,
0
)
...
Area of mathematics
Geometry and topology
Complex geometry
Complex structure
Almost complex manifold
Compatible almost complex structure
2026-10-05
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A
compatible triple consists of
a
symplectic form
,
a
compatible almost complex structure
, and the
Riemannian metric
g
(
u
,
v
)
=
ω
(
u
,
J
v
)
. Equivalently
g
(
J
u
,
v
)
=
ω
(
u
,
v
)
.
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Compatible almost complex structure
Almost complex manifold
Complex structure
Complex geometry
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 140
/
5
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 140
/
5
/
b
/
Solution
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