On the curvature of tensor product connections and covariant differentials
Janyška, Josef
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Displaying similar documents to “Erratum : Carleman estimates for the Laplace-Beltrami equation on complex manifolds”
On the curvature of tensor product connections and covariant differentials
Compact manifolds of nonnegative isotropic curvature and pure curvature tensor.
Dussan, Martha, Noronha, Maria Helena (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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The curvature groups of a space form
Izu Vaisman (1968)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
Curvature tensors in dimension four which do not belong to any curvature homogeneous space
Oldřich Kowalski, Friedbert Prüfer (1994)
Archivum Mathematicum
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A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.