4 problems

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Cut-time and cut-locus conjecture for the α-Grushin plane
Cut-time and cut-locus conjecture. The cut time should be
Conjectureopencut-locus grushin-plane sub-riemannian-geometryarXiv posted 2 days ago
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Curvature-dimension conjecture for the α-Grushin plane
Curvature-dimension conjecture. For $b1 geqslant 1$ , the $b1$ -Grushin plane satisfies $\mathrm{MCP}(K,N)$ if and only if $K\leqslant 0$ and
Conjectureopencurvature-dimension grushin-plane sub-riemannian-geometryarXiv posted 2 days ago
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Equal-area double bubble conjecture for the Grushin isoperimetric set
Equal-area Grushin double bubble conjecture. $E_y$ may be the solution of the double bubble problem for equal areas in the Grushin plane.
Conjectureopengeometric-measure-theory grushin-plane sub-riemannian-geometryarXiv posted 2 days ago
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Horizontal-interface conjecture for the equal-area double bubble in the Grushin plane
Horizontal-interface double bubble conjecture. This configuration may solve the double bubble problem with no assumptions on the contact interface.
Conjectureopengeometric-measure-theory grushin-plane sub-riemannian-geometryarXiv posted 2 days ago

Cut-time and cut-locus conjecture for the α-Grushin plane