Bottom spectrum of three-dimensional manifolds with scalar curvature lower bound

• Published in: Journal of functional analysis Vol. 287; no. 2; p. 110457
• Main Authors: Munteanu, Ovidiu, Wang, Jiaping
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.07.2024
• Subjects: Green's function; Scalar curvature; Spectrum; Scalar curvature; Green's function; Spectrum

A classical result of Cheng states that the bottom spectrum of complete manifolds of fixed dimension and Ricci curvature lower bound achieves its maximal value on the corresponding hyperbolic space. The paper establishes an analogous result for three-dimensional complete manifolds with scalar curvat...