Daniel Stern

activity

20182021

most citedScalar curvature and harmonic one-forms on three-manifolds with boundary

13 citations · 17 across the 5 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.DG2021★ 3 cited

From Steklov to Laplace: free boundary minimal surfaces with many boundary components

Mikhail Karpukhin, Daniel Stern

In the present paper, we study sharp isoperimetric inequalities for the first Steklov eigenvalue $σ_{1}$ on surfaces with fixed genus and large number $k$ of boundary components. We…

math.DG2021

Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces

Mikhail Karpukhin, Mickaël Nahon, Iosif Polterovich +1

We prove stability estimates for the isoperimetric inequalities for the first and the second nonzero Laplace eigenvalues on surfaces, both globally and in a fixed conformal class.…

math.DG2021★ 1 cited

Convergence of the self-dual $U (1)$ -Yang-Mills-Higgs energies to the $(n - 2)$ -area functional

Davide Parise, Alessandro Pigati, Daniel Stern

Given a hermitian line bundle $L \to M$ on a closed Riemannian manifold $(M^{n}, g)$ , the self-dual Yang-Mills-Higgs energies are a natural family of functionals \begin{align*} &E_ε(u,…

From Steklov to Laplace: free boundary minimal surfaces with many boundary components

Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces

Convergence of the self-dual U(1)-Yang-Mills-Higgs energies to the (n−2)-area functional

Convergence of the self-dual $U (1)$ -Yang-Mills-Higgs energies to the $(n - 2)$ -area functional