Smoothing Riemannian metrics with Ricci curvature bounds.
X. Dai, G. Wie, R. Ye (1996)
Manuscripta mathematica
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X. Dai, G. Wie, R. Ye (1996)
Manuscripta mathematica
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Colding, Tobias H. (1998)
Documenta Mathematica
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Sarić, Branko (2000)
Lobachevskii Journal of Mathematics
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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
Adam Kowalczyk (1984)
Banach Center Publications
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Mohamed Belkhelfa, Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś, Dorota Kowalczyk, Leopold Verstraelen (2002)
Banach Center Publications
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In this paper we present a review of recent results on semi-Riemannian manifolds satisfying curvature conditions of pseudosymmetry type.
Luis Guijarro, Peter Petersen (1997)
Annales scientifiques de l'École Normale Supérieure
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M. T. K. Abbassi, Giovanni Calvaruso (2012)
Archivum Mathematicum
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We completely classify Riemannian -natural metrics of constant sectional curvature on the unit tangent sphere bundle of a Riemannian manifold . Since the base manifold turns out to be necessarily two-dimensional, weaker curvature conditions are also investigated for a Riemannian -natural metric on the unit tangent sphere bundle of a Riemannian surface.
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.