Prove SplitTangentIntegrability (openai/math family 052: Tangent-bundle splittings and universal covers) in…
Prove SplitTangentIntegrability (openai/math family 052: Tangent-bundle splittings and universal covers) in…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 052 of the release, Tangent-bundle splittings and universal covers (Algebraic and…
The task
Context: this statement belongs to family 052 of the release, *Tangent-bundle splittings and universal covers* (Algebraic and complex geometry). The family as a whole: A splitting of the tangent bundle of a compact Kahler manifold into two integrable holomorphic subbundles induces a compatible product decomposition…
Part of raising-heart/openai-math.