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.
Pure Appl
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The paper solves the affine-invariant Minkowski problem for convex domains invariant under specific discrete affine subgroups by establishing a local Steiner formula and applying a variational method based on covolume convexity.
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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.
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An Affine Invariant Minkowski Problem
The paper solves the affine-invariant Minkowski problem for convex domains invariant under specific discrete affine subgroups by establishing a local Steiner formula and applying a variational method based on covolume convexity.