Parameter-criticality in hyperbolic catenoids causes a jump in Robin nullity to at least three with a new mode-zero kernel element.
Medvedev,On free boundary minimal submanifolds in geodesic balls inHn andS n +
3 Pith papers cite this work. Polarity classification is still indexing.
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Analytic proof that ind(Σ_a)=4 and nul(Σ_a)=2 for the critical spherical catenoid when a is sufficiently close to 1/2 from above.
citing papers explorer
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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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Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $\mathbb{H}^3$
Analytic proof that ind(Σ_a)=4 and nul(Σ_a)=2 for the critical spherical catenoid when a is sufficiently close to 1/2 from above.
- Robin nullity in mode $|k|=1$ and asymptotic radius of the critical spherical catenoid