Hui Ma

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math.DG2026

Classification of compact Lagrangian self-similar submanifolds with Legendrian capillary boundary in the unit ball

Dong Gao, Yong Luo, Hui Ma +1

We classify smooth compact connected Lagrangian immersions $X$ in the closed unit ball of $\C^n$, $n \geq 2$ , satisfying $H + ε X^{⊥} = 0$ , $ε \in {- 1, 0, 1}$ , with Le…

math.DG2026

Relative Liouville Rigidity for Lagrangian Self-Similar Submanifolds with Legendrian Boundary

Dong Gao, Hui Ma, Zeke Yao

We study compact Lagrangian self-similar immersions in the unit ball with Legendrian boundary. The Liouville form naturally defines a relative de Rham class, and we prove that the…

math.DG2023

Isoparametric Hypersurfaces in product spaces of space forms

Dong Gao, Hui Ma, Zeke Yao

We give a complete classification of isoparametric hypersurfaces in a product space $M_{κ_{1}}^{2} \times M_{κ_{2}}^{2}$ of $2$ -dimensional space forms for $κ_{i} \in {- 1, 0, 1}$ with $κ_1\neq…