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Created page with "== Introduction == In the realm of mathematics, particularly in the field of differential geometry, a harmonic form is a differential form that is both closed and co-closed. Harmonic forms play a crucial role in the study of Riemannian manifolds, where they are used to explore the manifold's topology and geometry. They are central to the Hodge theory, which provides a powerful framework for understanding the relationship between the topology of a manifol..."