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math.DG2026
Biharmonic Lagrangian surfaces with constant Gaussian curvature in -dimensional complex space forms
Yu Fu, Yanru Luo, Cezar Oniciuc
Constant curvature is one of the most fundamental intrinsic conditions in submanifold geometry. Investigating the existence and classification of biharmonic submanifolds under intr…
math.DG2026
Biharmonic hypersurfaces in space forms
Yu Fu, Min-Chun Hong, Dan Yang
We prove that every biharmonic hypersurface in a space form of nonpositive sectional curvature is minimal in arbitrary dimension. This settles the hypersurface case of the generali…
math.NT2026
p-adic Rigidity and Supercongruences at Rank Two Attractors
Yu Fu
We study a -adic rigidity phenomenon suggested by rank two attractors. Near an ordinary special fiber of a Calabi--Yau family, the excellent Frobenius of Beukers and Vlasenko ac…