Last Updated：2025/12/07

(mathematics) A decomposition of a differential form according to the Hodge theorem.

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Hodge decomposition

Source Word

Hodge decomposition

(mathematics) A decomposition of a differential form according to the Hodge theorem.

Japanese Meaning

ホッジ分解：数学において、ホッジの定理に基づいて微分形式を固有の成分に分解する手法。

In our seminar, we explored how the Hodge decomposition clarifies the relationship between harmonic forms and cohomology classes.

セミナーでは、ホッジ分解が調和形式とコホモロジー類の関係を明確にする様子を検討しました。

Sense（1）

(mathematics) A decomposition of a differential form according to the Hodge theorem.

Hodge decompositions

（ plural ）