6 papers · 1 filter
An optimal pinching theorem on compact minimal submanifolds in the Euclidean spheres via eigenvalues of fundamental matrices
Huimin Liu, Ling Yang
Based on an inequality on the upper bound of the sum of squared norms of Lie bracket of symmetric matrices, we establish a rigidity theorem for compact minimal submanifolds in the…
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…
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…
The rigidity of minimal Legendrian submanifolds in the Euclidean spheres via eigenvalues of fundamental matrices
Pei-Yi Wu, Ling Yang
In this paper, we study the rigidity problem for compact minimal Legendrian submanifolds in the unit Euclidean spheres via eigenvalues of fundamental matrices, which measure the sq…
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…