Local analytic resolution of the strong Medvedev conjecture: the critical hyperbolic catenoid has Morse index 4 and nullity 2 for a in (1/2, 1/2 + δ0).
Medvedev,On free boundary minimal submanifolds in geodesic balls inH n andS n +, Preprint
3 Pith papers cite this work. Polarity classification is still indexing.
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Parameter-criticality in hyperbolic catenoids causes a jump in Robin nullity to at least three with a new mode-zero kernel element.
The critical hyperbolic catenoid has Robin nullity 2 in mode |k|=1 and closed-form asymptotic radius r(a) = (3/2)log a + d_∞ + o(1) for large a and square-root degeneration near a=1/2.
citing papers explorer
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Analytic local resolution of Medvedev's Morse index conjecture for the critical hyperbolic catenoid in $\mathbb{H}^3$
Local analytic resolution of the strong Medvedev conjecture: the critical hyperbolic catenoid has Morse index 4 and nullity 2 for a in (1/2, 1/2 + δ0).
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Robin nullity and asymptotic geometry of the critical hyperbolic catenoid
Parameter-criticality in hyperbolic catenoids causes a jump in Robin nullity to at least three with a new mode-zero kernel element.
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Robin nullity in mode $|k|=1$ and asymptotic radius of the critical hyperbolic catenoid
The critical hyperbolic catenoid has Robin nullity 2 in mode |k|=1 and closed-form asymptotic radius r(a) = (3/2)log a + d_∞ + o(1) for large a and square-root degeneration near a=1/2.