Metrics of Positive Ricci Curvature with Large Diameter.
Michael T. Anderson (1990)
Manuscripta mathematica
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Displaying similar documents to “Smoothing Riemannian metrics with Ricci curvature bounds.”
Metrics of Positive Ricci Curvature with Large Diameter.
A functional expression for the curvature of hyper-dimensional Riemannian spaces.
Sarić, Branko (2000)
Lobachevskii Journal of Mathematics
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Spaces with Ricci curvature bounds.
Colding, Tobias H. (1998)
Documenta Mathematica
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Characterization of Low Dimensional RCD*(K, N) Spaces
Yu Kitabeppu, Sajjad Lakzian (2016)
Analysis and Geometry in Metric Spaces
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In this paper,we give the characterization of metric measure spaces that satisfy synthetic lower Riemannian Ricci curvature bounds (so called RCD*(K, N) spaces) with non-empty one dimensional regular sets. In particular, we prove that the class of Ricci limit spaces with Ric ≥ K and Hausdorff dimension N and the class of RCD*(K, N) spaces coincide for N < 2 (They can be either complete intervals or circles). We will also prove a Bishop-Gromov type inequality (that is ,roughly speaking,...
The Riemannian curvature tensor and differentiable spaces
Adam Kowalczyk (1984)
Banach Center Publications
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Alexandrov spaces with nonnegative curvature outside a compact set.
Liang-Khoon Koh (1997)
Manuscripta mathematica
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Curvature contents of geometric spaces.
Lohkamp, Joachim (1998)
Documenta Mathematica
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On continuous mappings between non-negatively and non-positively curved manifolds.
Paweł Grzegorz Walczak (1984)
Banach Center Publications
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Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds
Najoua Gamara, Abdelhalim Hasnaoui, Akrem Makni (2015)
Open Mathematics
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In this article we prove a reverse Hölder inequality for the fundamental eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with lower Ricci curvature bounds. We also prove an isoperimetric inequality for the torsional ridigity of such domains
On manifolds of positive Ricci curvature with large diameter.
Yukio Otsu (1991)
Mathematische Zeitschrift
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Busemann Functions and Total Curvature.
Katsuhiro Shiohama (1979)
Inventiones mathematicae
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Unit tangent sphere bundles with constant scalar curvature
Eric Boeckx, Lieven Vanhecke (2001)
Czechoslovak Mathematical Journal
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As a first step in the search for curvature homogeneous unit tangent sphere bundles we derive necessary and sufficient conditions for a manifold to have a unit tangent sphere bundle with constant scalar curvature. We give complete classifications for low dimensions and for conformally flat manifolds. Further, we determine when the unit tangent sphere bundle is Einstein or Ricci-parallel.