### Some articles on *harmonic forms, harmonic, harmonic form, forms, form*:

De Rham Cohomology - Related Ideas -

... See also

**Harmonic Forms**... See also

**Harmonic**differential If is a compact Riemannian manifold, then each equivalence class in contains exactly one**harmonic form**... ω of a given equivalence class of closed**forms**can be written as where is some**form**, and γ is**harmonic**Δγ=0 ... Any**harmonic**function on a compact connected Riemannian manifold is a constant ...Hodge Dual - Hodge Star On Manifolds - The Codifferential

... the exterior derivative, in that where ζ is a (k+1)-

... the exterior derivative, in that where ζ is a (k+1)-

**form**and η a k-**form**... This identity follows from Stokes' theorem for smooth**forms**, when i.e ... the appropriate topological vector spaces as closures of the spaces of smooth**forms**) ...### Famous quotes containing the words forms and/or harmonic:

“I believe, as Lenin said, that this revolutionary chaos may yet crystallize into new *forms* of life.”

—Mikhail Gorbachev (b. 1931)

“For decades child development experts have erroneously directed parents to sing with one voice, a unison chorus of values, politics, disciplinary and loving styles. But duets have greater *harmonic* possibilities and are more interesting to listen to, so long as cacophony or dissonance remains at acceptable levels.”

—Kyle D. Pruett (20th century)

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