3 problems

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Type-II blow-up conjecture for complete mean curvature flow translators
Let the complete translators constructed in Theorem be the finite-entropy translating hypersurfaces obtained there. Type-II blow-up conjecture. The complete translators constructed…
Conjectureopenmean-curvature-flow singularity-models translatorsarXiv posted 2 days ago
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The dimension-reduction conjecture for four-dimensional steady Ricci soliton singularity models
Dimension-reduction conjecture. If $(M,g,f)$ is a $4$ -dimensional steady gradient Ricci soliton singularity model, then it dimension reduces to $3$ -manifolds.
Conjectureopengeometric-analysis ricci-solitons singularity-modelsarXiv posted 2 days ago
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The bounded-curvature conjecture for singularity models
Bounded-curvature conjecture. Any singularity model must have bounded curvature.
Conjectureopenricci-flow riemannian-geometry singularity-modelsarXiv posted 2 days ago

Type-II blow-up conjecture for complete mean curvature flow translators