The Obata equation with Robin boundary condition

DOI10.4171/rmi/1212zbMath1472.53047arXiv1901.02206OpenAlexW3045890590MaRDI QIDQ2031496

Mijia Lai, Xuezhang Chen, Fang Wang

Publication date: 9 June 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02206

zbMATH Keywords

Robin boundary conditionObata equation

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

A Note on Obata Equations on Manifolds with Boundary

Cites Work

• Isoparametrische Hyperflächen in Sphären. I
• Isoparametric functions on Riemannian manifolds. I
• A lower bound for first eigenvalue with mixed boundary condition
• A note on Obata's rigidity theorem
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Familles de surfaces isoparametriques dans les espaces à courbure constante
• Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate
• Riemannian Geometry
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