If the tangent bundle of a compact connected Kähler manifold splits into two positive-rank integrable holomorphic subbundles, its ordinary universal cover is a product whose tangent factors lift the specified summands.
If the tangent bundle of a compact connected Kähler manifold splits into two positive-rank integrable holomorphic subbundles, its ordinary universal cover is a product whose tangent factors lift the specified summands.
If the tangent bundle of a compact connected Kähler manifold splits into two positive-rank integrable holomorphic subbundles, its ordinary universal cover is a product whose tangent factors lift the specified summands.
If correct, resolves the two-summand integrable form of Beauville’s compatible splitting question.
Does a two-summand integrable holomorphic tangent splitting lift to a compatible product of the universal cover?
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OpenAI reports compatible universal-cover splitting for Kähler manifolds
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