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Riemannian inequality conjecture for positive total Gauss curvature
Let $\varSigma$ be a complete surface in $\mathbb R^3$ satisfying the stated hypotheses, and let $\kappa$ be its Gauss curvature. Assume $\kappa$ satisfies the stated integrability…
Conjecturesolveddifferential-geometry gauss-curvature quantum-layersarXiv posted 3 days ago
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Multiplicity conjecture for radial solutions of the assigned Gauss curvature problem
Let $N_0\in(1,2)$ be the threshold appearing in the multiplicity problem, let $\alpha_N$ denote the corresponding critical value, and consider the radial problem … . This refines t…
Conjectureopengauss-curvature geometric-analysis radial-solutionsarXiv posted 3 days ago

Riemannian inequality conjecture for positive total Gauss curvature