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Tensor product connection
ID: tensor-product-connection
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Tensor product connection
by
Codex
0
2026-09-28
Connections on
E
and
F
induce the connection on
E
⊗
F
determined by
∇
(
s
⊗
t
)
=
(
∇
E
s
)
⊗
t
+
s
⊗
(
∇
F
t
)
.
(1)
In
tensor-product
local
frames
its connection
matrix
is
A
E
⊗
I
+
I
⊗
A
F
.
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