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Invariant vs covariant
Ciro Santilli
(
@cirosantilli,
37
)
...
Lie group
Important Lie group
Poincaré group
Galilean transformation
Galilean invariance
Covariance
Updated
2025-07-16
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Some sources distinguish "invariant" from "covariant" such that under some transformation (typically
Lie group
):
invariant: the value of
f
(
x
)
does not change if
we
transform
x
covariant: the form of the
equation
f
(
x
)
does not change if
we
transform
x
.
TODO
examples.
Bibliography:
physics.stackexchange.com/questions/7700/definitions-and-usage-of-covariant-form-invariant-invariant
physics.stackexchange.com/questions/270296/what-is-the-difference-between-lorentz-invariant-and-lorentz-covariant
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Covariance
Galilean invariance
Galilean transformation
Poincaré group
Important Lie group
Lie group
Differential geometry
Geometry
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