Fundamental Gap of Convex Domains in the Spheres

DOI10.1353/ajm.2020.0033zbMath1446.52003arXiv1705.11152OpenAlexW3042303722MaRDI QIDQ3305390

Qi S. Zhang, Guofang Wei, Chenxu He

Publication date: 6 August 2020

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.11152

zbMATH Keywords

unit sphereconvex domainsfirst two Dirichlet eigenvalues

Mathematics Subject Classification ID

Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (10)

Lower bounds for the first eigenvalue of 𝑝-Laplacian on Kähler manifolds ⋮ Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains ⋮ Eigenvalue estimates on quaternion-Kähler manifolds ⋮ Geometry. Abstracts from the workshop held June 12--18, 2022 ⋮ Lower bounds for the first eigenvalue of the \(p\)-Laplacian on quaternionic Kähler manifolds ⋮ Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds ⋮ Modulus of continuity estimates for fully nonlinear parabolic equations ⋮ Sharp lower bound for the first eigenvalue of the weighted \(p\)-Laplacian. I ⋮ Fundamental gaps of spherical triangles ⋮ The vanishing of the fundamental gap of convex domains in \(\mathbb{H}^n\)

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