One-dimensional projective structures, convex curves and the ovals of Benguria and Loss

DOI10.1007/s00220-014-2275-7zbMath1319.47015arXiv1403.8000OpenAlexW3103675571MaRDI QIDQ2018311

Jacob Bernstein, Thomas Mettler

Publication date: 14 April 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.8000

zbMATH Keywords

Schrödinger operatorLieb-Thirring inequalityprojective symmetries

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Curves in Euclidean and related spaces (53A04)

Related Items (2)

The Lieb–Thirring inequalities: Recent results and open problems ⋮ Higher order Wirtinger-type inequalities and sharp bounds for the isoperimetric deficit

Cites Work

• On an isoperimetric inequality for a Schrödinger operator depending on the curvature of a loop
• A variational characterization of the catenoid
• A lower bound for the ground state energy of a Schrödinger operator on a loop
• Existence and regularity for a curvature dependent variational problem
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