Asma Hassannezhad

activity

20122026

most citedSub-Laplacian eigenvalue bounds on sub-Riemannian manifolds

7 citations · 16 across the 11 of their papers we have counts for

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math.DG2026

Lower bounds for the low Steklov eigenvalues

Tirumala Chakradhar, Bruno Colbois, Asma Hassannezhad

For a compact, connected, orientable Riemannian manifold with $b$ boundary components, we obtain geometric lower bounds for the low Steklov eigenvalues, namely $σ_{k}$ , $1\le k\le b-…

math.DG2024★ 1 cited

Geometric bounds for low Steklov eigenvalues of finite volume hyperbolic surfaces

Asma Hassannezhad, Antoine Métras, Hélène Perrin

We obtain geometric lower bounds for the low Steklov eigenvalues of finite-volume hyperbolic surfaces with geodesic boundary. The bounds we obtain depend on the length of a shortes…

math.DG2023

Tubes and Steklov eigenvalues in negatively curved manifolds

Ara Basmajian, Jade Brisson, Asma Hassannezhad +1

We consider the Steklov eigenvalue problem on a compact pinched negatively curved manifold $M$ of dimension at least three with totally geodesic boundaries. We obtain a geometric l…

math.DG2019

Escobar constants of planar domains

Asma Hassannezhad, Anna Siffert

We initiate the study of the higher-order Escobar constants $I_{k} (M)$ , $k \geq 3$ , on bounded planar domains $M$ . The Escobar constants $I_{k}$ of the unit disk and a family of polygon…

math.DG2015

Zero and negative eigenvalues of the conformal Laplacian

A. Rod Gover, Asma Hassannezhad, Dmitry Jakobson +1

We show that zero is not an eigenvalue of the conformal Laplacian for generic Riemannian metrics. We also discuss non-compactness for sequences of metrics with growing number of ne…

math.DG2015★ 1 cited

Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

Asma Hassannezhad, Gerasim Kokarev, Iosif Polterovich

We revisit classical eigenvalue inequalities due to Buser, Cheng, and Gromov on closed Riemannian manifolds, and prove the versions of these results for the Dirichlet and Neumann b…

math.DG2014★ 7 cited

Sub-Laplacian eigenvalue bounds on sub-Riemannian manifolds

Asma Hassannezhad, Gerasim Kokarev

We study eigenvalue problems for intrinsic sub-Laplacians on regular sub-Riemannian manifolds. We prove upper bounds for sub-Laplacian eigenvalues $λ_{k}$ of conformal sub-Riemannian…

math.DG2012★ 5 cited

Eigenvalues of perturbed Laplace operators on compact manifolds

Asma Hassannezhad

We obtain upper bounds for the eigenvalues of the Schrödinger operator $L = Δ_{g} + q$ depending on integral quantities of the potential $q$ and a conformal invariant called the min-conf…