Comparison theorem and integral of scalar curvature on three manifolds

DOI10.1007/s12220-022-00934-yzbMath1496.53057OpenAlexW4280546308WikidataQ113899591 ScholiaQ113899591MaRDI QIDQ2144230

Bo Zhu

Publication date: 1 June 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-00934-y

zbMATH Keywords

harmonic functionlevel setintegral of scalar curvatureYau's problem

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• On complete noncompact Kähler manifolds with positive bisectional curvature
• New monotonicity formulas for Ricci curvature and applications. I
• On a problem of Yau regarding a higher dimensional generalization of the Cohn-Vossen inequality
• Integral of scalar curvature on non-parabolic manifolds
• Ricci curvature and monotonicity for harmonic functions
• The splitting theorem for manifolds of nonnegative Ricci curvature
• An upper bound for the curvature integral
• Weighted Poincaré inequality and rigidity of complete manifolds
• On Complete Manifolds With Nonnegative Ricci Curvature
• Critical Sets of Elliptic Equations
• Geometric Analysis

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