The volume of maximal SO(2,3)-representations of surface groups is bounded above uniformly in genus and bounded below by a positive constant on the Gothen components.
On complete maximal submanifolds in pseudo-hyperbolic space
2 Pith papers cite this work. Polarity classification is still indexing.
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A homeomorphism of the circle is Weil-Petersson precisely when its graph bounds a maximal surface in AdS^{2,1} with finite renormalized area.
citing papers explorer
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Volume of maximal representations into $\mathrm{SO}_0(2,3)$
The volume of maximal SO(2,3)-representations of surface groups is bounded above uniformly in genus and bounded below by a positive constant on the Gothen components.
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Weil--Petersson homeomorphisms, minimal lagrangian diffeomorphisms, and maximal surfaces in anti-de Sitter space
A homeomorphism of the circle is Weil-Petersson precisely when its graph bounds a maximal surface in AdS^{2,1} with finite renormalized area.