最終更新日：2024/08/02
(mathematics) One aspect of the study of differential forms of a smooth manifold M. More specifically, it works out the consequences for the cohomology groups of M, with real coefficients, of the partial differential equation theory of generalised Laplacian operators associated to a Riemannian metric on M.
正解を見る
Hodge theory
編集履歴（0）
元となった辞書の項目
Hodge theory
noun
(mathematics)
One
aspect
of
the
study
of
differential
forms
of
a
smooth
manifold
M.
More
specifically,
it
works
out
the
consequences
for
the
cohomology
groups
of
M,
with
real
coefficients,
of
the
partial
differential
equation
theory
of
generalised
Laplacian
operators
associated
to
a
Riemannian
metric
on
M.
意味（1）
(mathematics)
One
aspect
of
the
study
of
differential
forms
of
a
smooth
manifold
M.
More
specifically,
it
works
out
the
consequences
for
the
cohomology
groups
of
M,
with
real
coefficients,
of
the
partial
differential
equation
theory
of
generalised
Laplacian
operators
associated
to
a
Riemannian
metric
on
M.
