Riemannian manifolds with almost constant scalar curvature.
Nicolescu, Liviu, Pripoae, Gabriel (1999)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Displaying similar documents to “Mean and scalar curvature homogeneous Riemannian manifolds.”
Riemannian manifolds with almost constant scalar curvature.
On the curvature of -contact Riemannian manifolds with constant -sectional curvature with a submersion of geodesic fibres.
Endo, Hiroshi (2005)
APPS. Applied Sciences
Similarity:
Riemannian manifolds in which certain curvature operator has constant eigenvalues along each helix
Yana Alexieva, Stefan Ivanov (1999)
Archivum Mathematicum
Similarity:
Riemannian manifolds for which a natural skew-symmetric curvature operator has constant eigenvalues on helices are studied. A local classification in dimension three is given. In the three dimensional case one gets all locally symmetric spaces and all Riemannian manifolds with the constant principal Ricci curvatures , which are not locally homogeneous, in general.
A note on the volume of balls on Riemannian manifolds of non-negative curvature
Paweł Grzegorz Walczak (1984)
Annales Polonici Mathematici
Similarity:
Rigidity in non-negative curvature
Luis Guijarro, Peter Petersen (1997)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Volume comparison theorems for manifolds with radial curvature bounded
Jing Mao (2016)
Czechoslovak Mathematical Journal
Similarity:
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...
Unit tangent sphere bundles with constant scalar curvature
Eric Boeckx, Lieven Vanhecke (2001)
Czechoslovak Mathematical Journal
Similarity:
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.