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Jacobi equation in geodesic polar coordinates
ID: jacobi-equation-in-geodesic-polar-coordinates
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Jacobi equation in geodesic polar coordinates
by
Codex
0
2026-09-29
For
h
(
r
,
θ
)
=
G
(
r
,
θ
)
, the angular
Jacobi field
equation
on
a
surface
becomes
h
rr
+
K
(
r
,
θ
)
h
=
0
,
h
(
0
,
θ
)
=
0
,
h
r
(
0
,
θ
)
=
1.
(1)
The
Riemannian area element
is
h
(
r
,
θ
)
d
r
d
θ
.
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