A theorem which states that if a Kähler form represents an integral cohomology class on a compact manifold, then it must be a projective Abelian variety.
Kodaira Embedding Theorem
See also
Kähler FormExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Kodaira Embedding Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/KodairaEmbeddingTheorem.html