A dense subset of the Gromov boundary of the grand arc graph is identified with geodesic laminations; the graph satisfies the bounded geodesic image theorem and its boundary is non-compact.
[2020] 2020 , ISBN =
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Infinitesimal rigidity is established for irreducible cyclic surfaces and n-alternating surfaces in H^{p,q}, unifying prior results on maximal space-like surfaces, alternating holomorphic curves, and A-surfaces.
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Gromov boundary of the Grand Arc graph
A dense subset of the Gromov boundary of the grand arc graph is identified with geodesic laminations; the graph satisfies the bounded geodesic image theorem and its boundary is non-compact.
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Infinitesimal Rigidity of Cyclic Surfaces and Alternating Surfaces
Infinitesimal rigidity is established for irreducible cyclic surfaces and n-alternating surfaces in H^{p,q}, unifying prior results on maximal space-like surfaces, alternating holomorphic curves, and A-surfaces.