Showing 2025Show all
3 papers · 1 filter
math.DG2025
On the Classification of Isoparametric Hypersurfaces with Constant Principal Curvatures in Compact 3-Manifolds
Minghao Li, Ling Yang
Establishing detailed relationships between transnormal systems of different types and their behaviors under covering maps, this paper presents a classification of transnormal syst…
math.DG2025
The uniqueness of minimal maps into Cartan-Hadamard manifolds via the squared singular values
Zhiwei Jia, Minghao Li, Ling Yang
In this paper, we give a uniqueness theorem for the Dirichlet problem of minimal maps into general Riemannian manifolds with non-positive sectional curvature, improving Theorem 5.2…
math.GT2025
Some Remarks on Isoparametric Functions in Closed 4-Manifolds
Minghao Li
We study transnormal and isoparametric functions on closed Riemannian 4-manifolds and establish fundamental restrictions on their topology and geometry. In particular, we show that…