Scalar curvature of definable Alexandrov spaces.
Bernig, Andreas (2002)
Advances in Geometry
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Bernig, Andreas (2002)
Advances in Geometry
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Conrad Plaut (1992)
Compositio Mathematica
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Taoniu Sun (2009)
Annales de l'I.H.P. Analyse non linéaire
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Anca-Iuliana Bonciocat (2014)
Open Mathematics
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We introduce and study a rough (approximate) curvature-dimension condition for metric measure spaces, applicable especially in the framework of discrete spaces and graphs. This condition extends the one introduced by Karl-Theodor Sturm, in his 2006 article On the geometry of metric measure spaces II, to a larger class of (possibly non-geodesic) metric measure spaces. The rough curvature-dimension condition is stable under an appropriate notion of convergence, and stable under discretizations...
Paweł Grzegorz Walczak (1984)
Annales Polonici Mathematici
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David D. Bleecker (1978)
Compositio Mathematica
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Al-Gwaiz, M.A., Deshmukh, Sharief (1992)
International Journal of Mathematics and Mathematical Sciences
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Linda Ness (1977)
Compositio Mathematica
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Steenn Markvorsen (1997)
Zbornik Radova
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Guangyue Huang, Fanqi Zeng (2016)
Studia Mathematica
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We establish an integral geometric inequality on a closed Riemannian manifold with ∞-Bakry-Émery Ricci curvature bounded from below. We also obtain similar inequalities for Riemannian manifolds with totally geodesic boundary. In particular, our results generalize those of Wu (2014) for the ∞-Bakry-Émery Ricci curvature.