Infinitesimal Bishop-Gromov condition for Alexandrov spaces

zbMath1210.53041arXiv1003.4334MaRDI QIDQ5748033

Takashi Shioya, Kazuhiro Kuwae

Publication date: 14 September 2010

Full work available at URL: https://arxiv.org/abs/1003.4334

zbMATH Keywords

Ricci flowEinstein metricsAlexandrov spacesBishop-Gromov inequalityradial expansion map

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (10)

The Caffarelli-Kohn-Nirenberg inequality on metric measure spaces ⋮ Analytic approaches and harmonic functions on Alexandrov spaces with nonnegative Ricci curvature ⋮ Isospectral Alexandrov spaces ⋮ Parabolic Harnack inequality on metric spaces with a generalized volume property ⋮ Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds ⋮ Alexandrov spaces with large volume growth ⋮ A topological splitting theorem for weighted Alexandrov spaces ⋮ The Liouville's theorem of harmonic functions on Alexandrov spaces with nonnegative Ricci curvature ⋮ A note on local gradient estimate on Alexandrov spaces ⋮ How to lift positive Ricci curvature

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