The first eigenvalue of the Laplacian on orientable surfaces

DOI10.1007/s00209-022-03009-4zbMath1491.58012arXiv2106.00627OpenAlexW4221135765MaRDI QIDQ2672687

Mikhail Karpukhin, Denis Vinokurov

Publication date: 13 June 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.00627

zbMATH Keywords

Yang-Yau inequality

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items (2)

First eigenvalue of the Laplacian on compact surfaces for large genera ⋮ Bootstrapping closed hyperbolic surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On spectral geometry of Kähler submanifolds
• A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle
• Spectral geometry of CR-minimal submanifolds in the complex projective space
• Berger's isoperimetric problem and minimal immersions of surfaces
• A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
• Upper bound for the first eigenvalue of algebraic submanifolds
• Metrics on a closed surface of genus two which maximize the first eigenvalue of the Laplacian
• Isoperimetric inequality for the second eigenvalue of a sphere.
• On branched minimal immersions of surfaces by first eigenfunctions
• On the Yang-Yau inequality for the first Laplace eigenvalue
• Index of minimal spheres and isoperimetric eigenvalue inequalities
• Upper Bounds for the First Eigenvalue of the Laplacian on Non-Orientable Surfaces
• Extremal Metric for the First Eigenvalue on a Klein Bottle

This page was built for publication: The first eigenvalue of the Laplacian on orientable surfaces