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· arXiv 2512.05173

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math.DG 1

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2026 1

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Scalar-flat K\"ahler surfaces whose Weyl tensor annihilates the Ricci form

math.DG · 2026-04-29 · unverdicted · novelty 7.0 · 2 refs

Scalar-flat Kähler surfaces with Weyl tensor annihilating the Ricci form are conjectured to be Ricci-flat or products of oppositely curved surfaces, proven for compact manifolds, integrable Ricci distributions, and functionally dependent tensor norms.

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  • Scalar-flat K\"ahler surfaces whose Weyl tensor annihilates the Ricci form math.DG · 2026-04-29 · unverdicted · none · ref 6 · 2 links

    Scalar-flat Kähler surfaces with Weyl tensor annihilating the Ricci form are conjectured to be Ricci-flat or products of oppositely curved surfaces, proven for compact manifolds, integrable Ricci distributions, and functionally dependent tensor norms.