Scalar curvature of defineable CAT-spaces.
Bernig, Andreas (2003)
Advances in Geometry
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Bernig, Andreas (2003)
Advances in Geometry
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Isaac Chavel, Edgar A. Feldman (1974)
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Paweł Grzegorz Walczak (1984)
Annales Polonici Mathematici
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Luis Guijarro, Peter Petersen (1997)
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Linda Ness (1977)
Compositio Mathematica
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Taoniu Sun (2009)
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Guangyue Huang, Fanqi Zeng (2016)
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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.
Thomas Foertsch (2005)
Colloquium Mathematicae
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We consider the Hausdorff metric on the space of compact convex subsets of a proper, geodesically complete metric space of globally non-positive Busemann curvature in which geodesics do not split, and characterize their surjective isometries. Moreover, an analogous characterization of the surjective isometries of the space of compact subsets of a proper, uniquely geodesic, geodesically complete metric space in which geodesics do not split is given.
Victor Bangert (1980)
Compositio Mathematica
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