2 problems

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Conjecture that Theorem 3.1 holds without condition (Star)
The setting is that of the sub-Riemannian Gauss–Bonnet formula for a surface in a contact manifold, with condition $(\mathrm{Star})$ referring to the hypothesis used in Theorem 3.1…
Conjectureopencontact-manifolds gauss-bonnet-theorem sub-riemannian-geometryarXiv posted 2 days ago
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The linear conical-defect Gauss–Bonnet conjecture for cosmic branes
The linear conical-defect Gauss–Bonnet conjecture. There should be no higher-order terms in $1-\alpha$ , and
Conjectureopenconical-singularities gauss-bonnet-theorem renyi-entropiesarXiv posted 2 days ago

Conjecture that Theorem 3.1 holds without condition (Star)