Last Updated
：2025/12/02
codifferential
Sense（1）
Sense（2）
(differential
geometry)
the
formal
adjoint
of
the
exterior
derivative;
a
differential-geometric
version
of
the
divergence
operator;
the
exterior
derivative
sandwiched
between
two
Hodge
star
operators
with
some
additional
factor(s)
that
take(s)
care
of
the
sign;
the
Hermitian
conjugate
of
the
exterior
derivative
under
the
inner
product
for
k-form
fields
over
some
manifold
M:
(𝛼,𝛽)=∫_M𝛼∧
star
𝛽,
so
that
(𝛼,d𝛽)=(𝛿𝛼,𝛽).
（ plural ）
Quizzes for review
(mathematics) The projected differential of an extensor field.
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See correct answer
codifferential
In differential geometry, the codifferential maps an extensor field to its projected differential, revealing subtle cohomological properties.
See correct answer
In differential geometry, the codifferential maps an extensor field to its projected differential, revealing subtle cohomological properties.
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