5 papers
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…
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…
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…
The Equivalence of the Existences of Transnormal and Isoparametric Functions on Compact Manifolds
Minghao Li, Ling Yang
Through exploring the embedded transnormal systems of codimension 1, we show the existence of a transnormal function on a connected complete Riemannian manifold requires the underl…
A note on the uniqueness of minimal maps into via singular values
Minghao Li, Ling Yang, Taiyang Zhu
In this note, we derive a uniqueness theorem for minimal graphs of general codimension under certain restrictions closed related to the convexity (not strict convexity) of the area…