Elham Matinpour

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20242026

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math.DG2025

First eigenvalue and nodal domains of the drift Laplacian on symmetric self-shrinkers in $R^{3}$

Elham Matinpour

Consider $R^{3}$ equipped with the Euclidean metric and the Gaussian measure. Let $Σ$ be a complete embedded self-shrinker in $R^{3}$ with the induced metric and weig…

math.DG2025

Rigidity of Minimal Surfaces with Y-singularities and low Morse Index in $R^{3}$

Elham Matinpour

We investigate the geometric constraints imposed by low Morse index on minimal surfaces with Y-singularities, focusing on the classification of those with Morse index one. Our rigi…

math.DG2025

Rigidity of free boundary minimal $Y$ -surfaces in the unit ball

Elham Matinpour

We study rigidity for free boundary minimal $Y$ -surfaces in the unit ball $\B^n$, $n \geq 3$ , whose three disk faces meet at $12 0^{\circ}$ along an arc. The face immersions are $C^{2,α…

First eigenvalue and nodal domains of the drift Laplacian on symmetric self-shrinkers in R3

Rigidity of Minimal Surfaces with Y-singularities and low Morse Index in R3

Rigidity of free boundary minimal Y-surfaces in the unit ball

First eigenvalue and nodal domains of the drift Laplacian on symmetric self-shrinkers in $R^{3}$

Rigidity of Minimal Surfaces with Y-singularities and low Morse Index in $R^{3}$

Rigidity of free boundary minimal $Y$ -surfaces in the unit ball