Integral of scalar curvature on non-parabolic manifolds

DOI10.1007/s12220-019-00174-7zbMath1434.53038arXiv1902.09038OpenAlexW2915453539WikidataQ128289783 ScholiaQ128289783MaRDI QIDQ2303821

Guoyi Xu

Publication date: 5 March 2020

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

Full work available at URL: https://arxiv.org/abs/1902.09038

zbMATH Keywords

non-negative Ricci curvatureintegral of curvaturenon-parabolic manifolds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (4)

Diameter estimation of gradient \(\rho \)-Einstein solitons ⋮ Comparison theorem and integral of scalar curvature on three manifolds ⋮ Volume growth of 3-manifolds with scalar curvature lower bounds ⋮ Geometry of positive scalar curvature on complete manifold

Cites Work

• 3-manifolds with nonnegative Ricci curvature
• On the parabolic kernel of the Schrödinger operator
• Proof of the soul conjecture of Cheeger and Gromoll
• Sharp bounds for the Green's function and the heat kernel
• The Poisson kernel of positively curved manifolds
• A note on the total curvature of a Kähler manifold
• Lower bounds on Ricci curvature and the almost rigidity of warped products
• New monotonicity formulas for Ricci curvature and applications. I
• On a problem of Yau regarding a higher dimensional generalization of the Cohn-Vossen inequality
• Ricci curvature and monotonicity for harmonic functions
• An upper bound for the curvature integral
• Differential equations on riemannian manifolds and their geometric applications
• Large scale behavior of kernels of Schrodinger operators

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