Elham Matinpour

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20242026

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math.DG2026

Two Growth Filtrations for Drift Laplacians: Compatibility, Rigidity, and an Inverse Hermite/Laguerre Theorem

Elham Matinpour

Let $(M^{n}, g)$ be a complete, connected, noncompact Riemannian manifold, and let $f \geq 0$ be a proper $C^{2}$ weight. We assume polynomial bounds on $f$ , $∣\nabla f ∣$ , and $Δ f$ (Assump…

math.DG2026

Rigidity and Morse index of free boundary minimal $T$ -surfaces in the unit ball

Elham Matinpour

We study regular two-dimensional free boundary minimal $T$ -surfaces in the unit ball $\B^n$, with six faces, four triple junction arcs, and one tetrahedral vertex. A conformal mini…

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…

math.DG2024

Morse index and nullity of rotationally symmetric $Y$ -singular minimal surfaces

Elham Matinpour

We compute the Morse index and nullity of a one-parameter family of rotationally symmetric minimal $Y$ -singular surfaces in $R^{3}$ whose singular set is a circle. The second…

math.DG2024

On the Area of Immersed Minimal Annuli in a Slab

Elham Matinpour

We organize minimal annuli in a slab based on the winding number of the circles that foliate them and study the area of minimal annuli with given winding number. Specifically, we d…

Two Growth Filtrations for Drift Laplacians: Compatibility, Rigidity, and an Inverse Hermite/Laguerre Theorem

Rigidity and Morse index of free boundary minimal T-surfaces in the unit ball

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

Morse index and nullity of rotationally symmetric Y-singular minimal surfaces

On the Area of Immersed Minimal Annuli in a Slab

Rigidity and Morse index of free boundary minimal $T$ -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

Morse index and nullity of rotationally symmetric $Y$ -singular minimal surfaces