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math.DG2024
Bottom spectrum of three-dimensional manifolds with scalar curvature lower bound
Ovidiu Munteanu, Jiaping Wang
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…
math.DG2024
Geometry of three-dimensional manifolds with positive scalar curvature
Ovidiu Munteanu, Jiaping Wang
The purpose of this paper is to derive volume and other geometric information for three-dimensional complete manifolds with positive scalar curvature. In the case that the Ricci cu…