Almost Schur lemma for manifolds with boundary

DOI10.1016/J.DIFGEO.2013.11.006zbMath1283.53038OpenAlexW1996769415WikidataQ115356402 ScholiaQ115356402MaRDI QIDQ389354

Pak Tung Ho

Publication date: 20 January 2014

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2013.11.006

zbMATH Keywords

manifold with boundaryEinstein manifoldSchur's theorem

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32)

Related Items (6)

A note on the almost-Schur lemma on smooth metric measure spaces ⋮ Some De Lellis-Topping type inequalities and their applications on an NCC Riemannian triple 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 type inequalities for $f$-Laplacians ⋮ De Lellis-Topping inequalities on weighted manifolds with boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Almost-Schur lemma
• Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
• Uniqueness and non-uniqueness of metrics with prescribed scalar and mean curvature on compact manifolds with boundary.
• A generalization of almost-Schur lemma for closed Riemannian manifolds
• A note on the almost-Schur lemma on $4$-dimensional Riemannian closed manifolds
• An almost Schur theorem on 4-dimensional manifolds
• The Exponential Decay Rate of the Lower Bound for the First Eigenvalue of Compact Manifolds
• Integral pinching results for manifolds with boundary

This page was built for publication: Almost Schur lemma for manifolds with boundary