De Lellis–Topping type inequalities for $f$-Laplacians

DOI10.4064/SM8236-4-2016zbMath1354.53051OpenAlexW2342823064MaRDI QIDQ2809346

Guangyue Huang, Fanqi Zeng

Publication date: 27 May 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm8236-4-2016

zbMATH Keywords

totally geodesic boundaryBakry-Émery Ricci curvatureDe Lellis-Topping inequality

Mathematics Subject Classification ID

Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

Some De Lellis-Topping type inequalities and their applications on an NCC Riemannian triple with boundary ⋮ Some integral inequalities on weighted Riemannian manifolds with boundary ⋮ Some almost-Schur type inequalities and applications on sub-static manifolds ⋮ Some almost-Schur type inequalities for \(k\)-Bakry-Emery Ricci tensor ⋮ De Lellis-Topping inequalities on weighted manifolds with boundary

Cites Work

• Almost Schur lemma for manifolds with boundary
• Rigidity for closed totally umbilical hypersurfaces in space forms
• Almost-Schur lemma
• A generalization of almost-Schur lemma for closed Riemannian manifolds
• De Lellis-Topping type inequalities for smooth metric measure spaces
• On an inequality of Andrews, De Lellis, and Topping
• On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking solitons
• A new conformal invariant on 3-dimensional manifolds
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• A note on the almost-Schur lemma on $4$-dimensional Riemannian closed manifolds
• On problems related to an inequality of Andrews, De Lellis, and Topping
• An almost Schur theorem on 4-dimensional manifolds
• Integral pinching results for manifolds with boundary
• The geometry of Markov diffusion generators

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