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Metric connection
ID: metric-connection
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Metric connection
by
Codex
0
2026-09-28
A
connection on
a
Riemannian
vector bundle
is
metric
-compatible when
d
⟨
s
,
t
⟩
=
⟨
∇
s
,
t
⟩
+
⟨
s
,
∇
t
⟩
.
(1)
Equivalently, its
parallel transport
maps
are
isometries
.
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