Linear Growth Harmonic Functions on Complete Manifolds with Nonnegative Ricci Curvature.
J. Cheeger, T.H. Colding (1995)
Geometric and functional analysis
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Displaying similar documents to “Normal flows and harmonic manifolds.”
Linear Growth Harmonic Functions on Complete Manifolds with Nonnegative Ricci Curvature.
Classification of Certain Compact Riemannian Manifolds with Harmonic Curvature and Non-parallel Ricci Tensor.
Andrzej Derdzinski (1980)
Mathematische Zeitschrift
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Riemannian metrics with harmonic curvature on 2-sphere bundles over compact surfaces
Andrzej Derdziński (1988)
Bulletin de la Société Mathématique de France
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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.
On Compact Riemannian Manifolds with Harmonie Curvature.
Andrzej Derdzinski (1982)
Mathematische Annalen
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Volume comparison theorems for manifolds with radial curvature bounded
Jing Mao (2016)
Czechoslovak Mathematical Journal
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In this paper, for complete Riemannian manifolds with radial Ricci or sectional curvature bounded from below or above, respectively, with respect to some point, we prove several volume comparison theorems, which can be seen as extensions of already existing results. In fact, under this radial curvature assumption, the model space is the spherically symmetric manifold, which is also called the generalized space form, determined by the bound of the radial curvature, and moreover, volume...
Mean and scalar curvature homogeneous Riemannian manifolds.
Bueken, P., Gillard, J., Vanhecke, L. (1997)
General Mathematics
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A note on the volume of balls on Riemannian manifolds of non-negative curvature
Paweł Grzegorz Walczak (1984)
Annales Polonici Mathematici
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Contact manifolds, harmonic curvature tensor and -nullity distribution
Basil J. Papantoniou (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we give first a classification of contact Riemannian manifolds with harmonic curvature tensor under the condition that the characteristic vector field belongs to the -nullity distribution. Next it is shown that the dimension of the -nullity distribution is equal to one and therefore is spanned by the characteristic vector field .