The weighted connection and sectional curvature for manifolds with density

DOI10.1007/s12220-018-0025-3zbMath1410.53040arXiv1707.05376OpenAlexW2964304966MaRDI QIDQ1725906

William Wylie, Dmytro Yeroshkin, Lee Kennard

Publication date: 15 February 2019

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

Full work available at URL: https://arxiv.org/abs/1707.05376

zbMATH Keywords

Jacobi fieldssectional curvaturemanifold with densitycomparison geometrysphere theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Curvature-dimension bounds for Lorentzian splitting theorems ⋮ An integral formula for affine connections ⋮ Local conformal instability and local non-collapsing in the Ricci flow of quantum spacetime ⋮ A new notion on weighted Riemann curvature ⋮ Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds ⋮ The weighted connection and sectional curvature for manifolds with density ⋮ Riemann curvature tensor on \(\mathsf{RCD}\) spaces and possible applications ⋮ A warped product version of the Cheeger-Gromoll splitting theorem

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