3 papers
math.DG2026
Rigidity of Closed Minimal Hypersurfaces in
Jianquan Ge, Tong Liu, Keyan Luo +1
The celebrated Chern conjecture asserts that any closed minimal hypersurface in with constant scalar curvature is isoparametric. In this paper, we resolve this c…
math.CV2026
Non-extendability of complex structures
Zizhou Tang, Wenjiao Yan
There exists a complex structure on a connected open subset of . The present paper proves that: (1) can be extended to a global almost complex struc…
math.DG2025
Isoparametric foliations and complex structures
Chao Qian, Zizhou Tang, Wenjiao Yan
Explicit representations of complex structures on closed manifolds are valuable, but relatively rare in the literature. Using isoparametric theory, we construct complex structures…