Kähler manifold

noun

A manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure.

Meanings

nounKähler manifold (plural Kähler manifolds)

plural Kähler manifolds

  1. differential geometryA manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure.

Origin

Introduced by Erich Kähler in 1933, though the concept had been studied by others a few years earlier.

Full word history & related roots →
Cite this entry
APA

Kähler manifold. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/K%C3%A4hler%20manifold

MLA

“Kähler manifold.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/K%C3%A4hler%20manifold. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Kähler manifold,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/K%C3%A4hler%20manifold.

Source: Kähler manifold on Wiktionary, CC BY-SA 4.0.