ON RIEMANNIAN MANIFOLDS WITH POSITIVE WEIGHTED RICCI CURVATURE OF NEGATIVE EFFECTIVE DIMENSION

DOI10.2206/kyushujm.73.205zbMath1429.53062arXiv1704.06091OpenAlexW2980763739MaRDI QIDQ5243512

Cong Hung Mai

Publication date: 18 November 2019

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06091

zbMATH Keywords

spectral gapweighted Ricci curvaturenegative effective dimensions

Mathematics Subject Classification ID

Rigidity results (53C24)

Related Items (6)

Comparison geometry of manifolds with boundary under lower \(N\)-weighted Ricci curvature bounds with \(\varepsilon \)-range ⋮ Liouville theorem for \(V\)-harmonic maps under non-negative \((m, V)\)-Ricci curvature for non-positive \(m\) ⋮ Rigidity for the isoperimetric inequality of negative effective dimension on weighted Riemannian manifolds ⋮ Equality in the logarithmic Sobolev inequality ⋮ Quantitative estimates for the Bakry-Ledoux isoperimetric inequality ⋮ Rigidity phenomena on lower \(N\)-weighted Ricci curvature bounds with \(\varepsilon\)-range for nonsymmetric Laplacian

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