6 papers
Free Boundary Plateau Model Cones in are Rigid under Conformal Minimal Immersions
Elham Matinpour
The classical theorem of Nitsche asserts that every free-boundary minimal disk in the unit ball is an equatorial flat disk. Fraser and Schoen later generalized this…
Rigidity and index of free boundary minimal Y-cones in the unit ball
Elham Matinpour
J. C. C. Nitsche proved that any minimal disk satisfying the free boundary condition in the unit ball must be an equatorial flat disk. Later, Fraser and Schoen extended this…
First eigenvalue and nodal domains of the drift Laplacian on symmetric self-shrinkers in
Elham Matinpour
Consider equipped with the Euclidean metric and the Gaussian measure. Let be a complete embedded self-shrinker in with the induced metric and wei…
Rigidity of Minimal Surfaces with Y-singularities and low Morse Index in
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…
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…
Morse index of y-singular minimal surfaces
Elham Matinpour
In this paper, we compute the Morse index of rotationally symmetric minimal Y-singular surfaces under assumption that the Y-singularities form a single circle. This computation is…