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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…